# class 12

## KC Sinha Solution Class 12 Chapter 4 Inverse Trigonometric Function Exercise 4.1

Exercise 4.1 TYPE 1 Question 1 Find the value of  (i) Sol : Let ..(i) ⇒ ∵ ⇒ ⇒..(ii) On comparing (i) and (ii) equations ⇒ (ii) Sol : ⇒Let ..(i) ⇒ ∵ ⇒ ⇒ ⇒..(ii) From (i) and (ii) , we get ⇒ (iii) Sol : Note: cot-1 (-θ)=π-cot-1 θ ⇒cot-1 (-√3)=π-cot-1 (√3) ⇒ ⇒ …

## NCERT class 12 English Vistas Chapter 8 summary Memories of Childhood (notes) explained (translation) in hindi

Memories of Childhood Summary In English I. The Cutting of My Long Hair (Zitkala-Sa) It was the writer’s first day at school. It was bitter cold. A large bell rang for breakfast. Shoes clattered on bare floors. Many voices murmured. A paleface woman, with white hair, came up after them. They were placed in a …

## NCERT class 12 English Vistas Chapter 7 summary Evans Tries and O-level (notes) explained (translation) in hindi

Evans Tries an O-level Summary In English In early March, the Secretary of the Examinations Board received a telephonic request from the Governor of the Oxford Prison to create an examination centre in jail for one candidate named Evans. He started night classes in O-Level German last September. He was the only one in the …

## NCERT class 12 English Vistas Chapter 6 summary On the Face of it (notes) explained (translation) in hindi

On the Face of It Summary In English The first scene is located in Mr Lamb’s garden. There is an occasional sound of bird song and of tree leaves rustling. Derry’s footsteps are heard as he walks slowly and hesitantly through the long grass. He comes round a screen of bushes. When Mr Lamb speaks …

## NCERT class 12 English Vistas Chapter 5 summary Should Wizard Hit Mommy ? (notes) explained (translation) in hindi

Should Wizard Hit Mommy? Summary In English It was a Saturday evening. Every evening Jack told his daughter Jo a story out of his head. This custom began when she was two. Now he had been telling her bedtime stories for almost two years. His story had a central character named Roger-a small creature. It …

## NCERT class 12 English Vistas Chapter 3 summary The Enemy (notes) explained (translation) in hindi

The Enemy Summary In English The scene of action is a spot on the Japanese coast. Dr Sadao Hoki’s house was a low, square stone built house. It was set upon rocks well above a narrow beach outlined with bent pines. Sadao’s father had a deep concern for his son’s education. So Sadao had been …

## NCERT class 12 English Vistas Chapter 2 summary The Tiger King (notes) explained (translation) in hindi

The Tiger King Summary In English The Maharaja of Pratibandapuram is the hero of this story. He also came to be known as Tiger King. As soon as he was born, astrologers had foretold that one day the Tiger King would actually have to die. The ten-day-old prince addressed the astrologers as “O wise prophets”. …

## NCERT class 12 English Flamingo Chapter 14 summary Aunt Jennifer’s Tiger (notes) explained (translation) in hindi

Aunt Jennifer’s Tigers Summary In English Aunt Jennifer’s Tigers prance and jump across a screen. They are bright coloured like the shining yellow topaz. These denizens’ or the dwellers of the green forests are brought in the panel by Aunt Jennifer. She creates them through her own hands. They don’t fear the men standing under …

## NCERT class 12 English Flamingo Chapter 12 summary A Thing of Beauty (notes) explained (translation) in hindi

A Thing of Beauty Summary In English A thing of beauty is a constant source of joy. Its beauty keeps on increasing. It never fades. It will never pass into nothingness. It provides us a pleasant shelter—a quiet bower for us. It gives us peace and a sleep full of sweet dreams. We are bound …

## NCERT class 12 English Flamingo Chapter 11 summary Keeping Quiet (notes) explained (translation) in hindi

Keeping Quiet Summary In English The poet wants us to keep still till he counts upto twelve. For once, let us not talk in any language on this earth. He asks us to stop moving our arms so much for one second. Let there be no rush or hurry for a second. Engines and other …

## NCERT class 12 English Flamingo Chapter 10 summary An Elementary School Classroom in a Slum (notes) explained (translation) in hindi

An Elementary School Classroom in a Slum Summary In English The children of an elementary school classroom in a slum look pathetic and miserable. They have pale and lifeless faces. Their disorderly hair are torn around and look like rootless weeds. They are depressed and keep their heads down. They have stunted growth. They inherit …

## NCERT class 12 English Flamingo Chapter 9 summary My Mother at Sixty-six (notes) explained (translation) in hindi

My Mother at Sixty-six Summary in English The poet was driving from her parent’s home to the Cochin airport last Friday morning. Her mother was sitting beside her. She was sixty six years old. The old lady was dozing. Her mouth remained open. Her face looked pale and faded. It was grey like ash. It …

## NCERT class 12 English Flamingo Chapter 8 summary Going Places (notes) explained (translation) in hindi

Going Places Summary In English Sophie and Jansie, two school girls, were coming home from school. Sophie declared that she was going to have a boutique. Jansie looked doubtful as something like that took money. Sophie said that she would find it. Jansie observed that it would take a long time to save that much. …

## NCERT class 12 English Flamingo Chapter 5 summary Indigo (notes) explained (translation) in hindi

Indigo Summary In English In December 1916 Gandhi went to Lucknow to attend the annual convention of the Indian National Congress. There were 2,301 delegates and many visitors. A peasant from Champaran, Rajkumar Shukla, asked Gandhi to visit his district. Shukla followed Gandhi, wherever he went. In 1917, Gandhi and Shukla boarded a train for …

## NCERT class 12 English Flamingo Chapter 4 summary The Rattrap (notes) explained (translation) in hindi

The Rattrap Summary In English Once there was a man who went around selling small rattraps of wire. He made them himself but his business was not profitable. So, he had to beg and steal a bit to keep himself alive. His clothes were in rags, his cheeks were sunken and hunger could be noticed …

## NCERT class 12 English Flamingo Chapter 3 summary Deep Water (notes) explained (translation) in hindi

Deep Water Summary In English William 0. Douglas recalls a misadventure of childhood. It had happened when he was ten or eleven years old. He had decided to learn to swim. There was a pool at the Y.M.C.A. in Yakima, which was safe. It was only two or three feet deep at the shallow end …

## NCERT class 12 English Flamingo Chapter 2 summary Lost Spring (notes) explained (translation) in hindi

Lost Spring Summary In English I. “Sometimes I find a rupee in the garbage’ The author comes across Saheb every morning. Saheb left his home in Dhaka long time ago. He is trying to sponge gold in the heaps of garbage in the neighbourhood. The author asks Saheb why he does that. Saheb mutters that …

## NCERT class 12 English Flamingo Chapter 1 summary The Last Lesson (notes) explained (translation) in hindi

The Last Lesson Summary In English Franz started for school very late that morning. He was afraid of being scolded because M. Hamel was to question them on participles, and he did not know the first word about them. He thought of running away and spending the day out of doors. The warm bright day, …

## RD Sharma Solution CLass 12 Mathematics Chapter 33 Binomial Distribution

Chapter 33 – Binomial Distribution Exercise Ex. 33.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Required Probability = Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 …

## RD Sharma Solution CLass 12 Mathematics Chapter 32 Mean and Variance of  a Random Variable

Chapter 32 – Mean and variance of a random variable Exercise Ex. 32.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 …

## RD Sharma Solution CLass 12 Mathematics Chapter 31 Probability

Chapter 31 – Probability Exercise Ex. 31.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Chapter 31 – Probability Exercise Ex. 31.2 Question 1 Solution 1 Question …

## RD Sharma Solution CLass 12 Mathematics Chapter 30 Linear Programming

Chapter 30 – Linear programming Exercise Ex. 30.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 Solution …

## RD Sharma Solution CLass 12 Mathematics Chapter 29 The Plane

Chapter 29 – The plane Exercise Ex. 29.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Chapter 29 – The plane Exercise Ex. 29.10 Question 1 Solution 1 Question 2 Solution …

## RD Sharma Solution CLass 12 Mathematics Chapter 28 Straight Line in Space

Chapter 28 – Straight line in space Exercise Ex. 28.1 Question 1 Solution 1 Question 2 Find the vector equation of the line passing through the points (-1, 0, 2) and (3, 4, 6). Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution …

## RD Sharma Solution CLass 12 Mathematics Chapter 27 Direction Cosines and Direction Ratios

Chapter 27 – Direction Cosines and Direction Ratios Exercise Ex. 27.1 Question 1 If a line makes angles of 90°, 60° and 30° with the positive direction of x,y and z-axis respectively, find its direction cosines. Solution 1 Let l, m and n be the direction cosines of a line. l = cos 90° = …

## RD Sharma Solution CLass 12 Mathematics Chapter 26 Scalar Triple Product

Chapter 26 – Scalar Triple Product Exercise Ex. 26.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 …

## RD Sharma Solution CLass 12 Mathematics Chapter 25 Vectors or Cross Product

Chapter 25 – Vector or Cross Product Exercise Ex. 25.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question …

## RD Sharma Solution CLass 12 Mathematics Chapter 24 Scalar or Dot Product

Chapter 24 – Scalar Or Dot Product Exercise Ex. 24.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question …

## RD Sharma Solution CLass 12 Mathematics Chapter 23 Algebra of Vectors

Chapter 23 – Algebra of vectors Exercise Ex. 23.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Chapter 23 – Algebra of Vectors Exercise Ex. 23.2 Question 1 Solution 1 Question 2 Solution 2      …

## RD Sharma Solution CLass 12 Mathematics Chapter 22 Differential Equations

Chapter 22 – Differential Equations Exercise Ex. 22.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6   Solution 6   Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question …

## RD Sharma Solution CLass 12 Mathematics Chapter 21 Areas of Bounded Regions

Chapter 21 – Areas of bounded regions Exercise Ex. 21.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Thus, Required area = square units Question 8 Solution 8 Question 9 Solution 9 Question 10   …

## RD Sharma Solution CLass 12 Mathematics Chapter 20 Definite Integrals

Chapter 20 – Definite Integrals Exercise Ex. 20.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 Solution …

## RD Sharma Solution CLass 12 Mathematics Chapter 19 Indefinite Integrals

Chapter 19 – Indefinite Integrals Exercise Ex. 19.1 Question 1 integrate each of the following functions with respect to x: Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Chapter 19 – Indefinite Integrals Exercise Ex. 19.10 Question 1 Solution 1 Question …

## RD Sharma Solution CLass 12 Mathematics Chapter 18 Maxima and Minima

Chapter 18 – Maxima and Minima Exercise Ex. 18.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Chapter 18 – Maxima and Minima Exercise Ex. 18.2 …

## RD Sharma Solution CLass 12 Mathematics Chapter 17 Increasing and Decreasing Functions

Chapter 17 – Increasing and Decreasing Functions Exercise Ex. 17.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Chapter 17 – Increasing and Decreasing Functions Exercise Ex. …

## RD Sharma Solution CLass 12 Mathematics Chapter 16 Tangents and Normals

Chapter 16 – Tangents and Normals Exercise Ex. 16.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question …

## RD Sharma Solution CLass 12 Mathematics Chapter 15 Mean Value Theorems

Chapter 15 – Mean Value Theorems Exercise Ex. 15.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 …

## RD Sharma Solution CLass 12 Mathematics Chapter 14 Differentials , Errors and Approximations

Chapter 14 – Differentials, Errors and Approximations Exercise Ex. 14.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question …

## RD Sharma Solution CLass 12 Mathematics Chapter 13 Derivative as Rate Measurer

Chapter 13 – Derivative as a Rate Measurer Exercise Ex. 13.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 The money to be spent for …

## RD Sharma Solution CLass 12 Mathematics Chapter 12 Higher Order Derivatives

Chapter 12 – Higher Order Derivatives Exercise Ex. 12.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Find the second order derivative of log(sinx). Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution …

## RD Sharma Solution CLass 12 Mathematics Chapter 11 Differentiation

Chapter 11 – Differentiation Exercise Ex. 11.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Chapter 11 – Differentiation Exercise Ex. 11.2 Question …

## RD Sharma Solution CLass 12 Mathematics Chapter 10 Differentiability

Chapter 10 – Differentiability Exercise Ex. 10.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Find whether the following functions is differentiable at  x = 1 and x = 2 or not: Solution 6 Question 7 Solution 7 Question 8 Solution …

## RD Sharma Solution CLass 12 Mathematics Chapter 9 Continuity

Chapter 9 – Continuity Exercise Ex. 9.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 Solution 12 …

## RD Sharma Solution CLass 12 Mathematics Chapter 8 Solution of Simultaneous Linear Equations

Chapter 8 – Solution of Simultaneous Linear Equations Exercise Ex. 8.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 …

## RD Sharma Solution CLass 12 Mathematics Chapter 7 Adjoint and Inverse of a Matrix

Chapter 7 – Adjoint and Inverse of a Matrix Exercise Ex. 7.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution …

## RD Sharma Solution CLass 12 Mathematics Chapter 5 Algebra of Matrices

Chapter 5 – Algebra of Matrices Exercise Ex. 5.1 Question 1 If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements? Solution 1 We know that if a matrix is of the order , it has mn elements. Thus, to find all the possible orders of …

## RD Sharma Solution CLass 12 Mathematics Chapter 1 Relations

Chapter 1 – Relations Exercise Ex. 1.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 Solution 12 …

## CBSE Previous Year Question Papers Class 12 Sociology 2016

CBSE Previous Year Question Papers Class 12 Sociology 2016 Question 1. What is the meaning of dependency ratio ? [2] Answer: The dependency ratio is a measure which compares the part of a population which is composed of dependents (i.e., elderly people who are very old to work., and children who are very young to …

## CBSE Previous Year Question Papers Class 12 Sociology 2017

CBSE Previous Year Question Papers Class 12 Sociology 2017 Question 1. What do you understand by the term westernisation ? [2] Answer: Westernisation is the process where societies come under or adopt western culture, lifestyles and western ways of thinking in areas such as industry, language, clothing, etc. Question 2. In an industrial set-up, how …

## CBSE Previous Year Question Papers Class 12 Sociology 2018

CBSE Previous Year Question Papers Class 12 Sociology 2018 Time allowed : 3 hours Maximum marks: 80 General Instructions: The question paper is divided into three sections. There are 25 questions in all. All questions are compulsory. Section A includes question No. 1-14. They are very short answer type questions carrying 2 marks each. Answer …

## CBSE Previous Year Question Papers Class 12 Sociology 2019

CBSE Previous Year Question Papers Class 12 Sociology 2019 Time allowed : 3 hours Maximum marks: 80 General Instructions: The question paper is divided into three sections. There are 25 questions in all. All questions are compulsory. Section A includes question No. 1-14. They are very short answer type questions carrying 2 marks each. Answer …

## CBSE Previous Year Question Papers Class 12 Physical Education 2014 Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2014 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers to these questions should be in approximately 10-20 words each. Questions no. 12 to …

## CBSE Previous Year Question Papers Class 12 Physical Education 2014 Outside Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2014 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers to these questions should be in approximately 10-20 words each. Questions no. 12 …

## CBSE Previous Year Question Papers Class 12 Physical Education 2015 Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2015 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers to these questions should be in approximately 10-20 words each. Questions no. 12 to …

## CBSE Previous Year Question Papers Class 12 Physical Education 2015 Outside Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2015 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers to these questions should be in approximately 10-20 words each. Questions no. 12 …

## CBSE Previous Year Question Papers Class 12 Physical Education 2016 Outside Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2016 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers to these questions should be in approximately 10-20 words each. Questions no. 12 …

## CBSE Previous Year Question Papers Class 12 Physical Education 2017 Outside Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2017 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers to these questions should be in approximately 10-20 words each. Questions no. 12 …

## CBSE Previous Year Question Papers Class 12 Physical Education 2018 Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2018 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers to these questions should be in approximately 10-20 words each. Questions no. 12 to …

## CBSE Previous Year Question Papers Class 12 Physical Education 2018 Outside Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2018 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers to these questions should be in approximately 10-20 words each. Questions no. 12 …

## CBSE Previous Year Question Papers Class 12 Physical Education 2019 Outside Delhi

CBSE Previous Year Question Papers Class 12 Physical Education 2019 Outside Delhi CBSE Previous Year Question Papers Class 12 Physical Education 2019 Outside Delhi Set-I Time allowed : 3 hours Maximum marks: 70 General Instructions: The question paper contains 26 questions. All questions are compulsory. Question no. 1 to 11 carry 1 mark each. Answers …

## CBSE Previous Year Question Papers Class 12 Economics 2011 Delhi

CBSE Previous Year Question Papers Class 12 Economics 2011 Delhi Time allowed : 3 hours Maximum marks: 100 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2011 Delhi Set – I Note : Except for the following questions, all the remaining questions have been …

## CBSE Previous Year Question Papers Class 12 Economics 2011 Outside Delhi

CBSE Previous Year Question Papers Class 12 Economics 2011 Outside Delhi Time allowed : 3 hours Maximum marks: 100 CBSE Previous Year Question Papers Class 12 Economics 2011 Outside Delhi Set – I Section – A Question 1. What is a planned economy? [1] Answer: An economic system in which economic decisions are made by …

## CBSE Previous Year Question Papers Class 12 Economics 2012 Delhi

CBSE Previous Year Question Papers Class 12 Economics 2012 Delhi Time allowed : 3 hours Maximum marks: 100 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2012 Delhi Set – I Note: Except for the following questions, all the remaining questions have been asked …

## CBSE Previous Year Question Papers Class 12 Economics 2012 Outside Delhi

CBSE Previous Year Question Papers Class 12 Economics 2012 Outside Delhi Time allowed : 3 hours Maximum marks: 100 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2012 Outside Delhi Set – I Section – A Question 1. Define microeconomics. [1] Answer: Micro Economics …

## CBSE Previous Year Question Papers Class 12 Economics 2013 Delhi

CBSE Previous Year Question Papers Class 12 Economics 2013 Delhi Time allowed : 3 hours Maximum marks: 100 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2013 Delhi Set – I Section – A Question 1. Give two examples of fixed costs. [1] Answer: …

## CBSE Previous Year Question Papers Class 12 Economics 2013 Outside Delhi

CBSE Previous Year Question Papers Class 12 Economics 2013 Outside Delhi Time allowed : 3 hours Maximum marks: 70 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2013 Outside Delhi Set – I Section – A Question 1. Define marginal revenue. [1] Answer: Marginal …

## CBSE Previous Year Question Papers Class 12 Economics 2014 Delhi

CBSE Previous Year Question Papers Class 12 Economics 2014 Delhi Time allowed : 3 hours Maximum marks: 70 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2014 Delhi Set – I Note: Except the following questions, all the remaining questions have been asked in …

## CBSE Previous Year Question Papers Class 12 Economics 2014 Outside Delhi

CBSE Previous Year Question Papers Class 12 Economics 2014 Outside Delhi Time allowed : 3 hours Maximum marks: 70 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2014 Outside Delhi Set – I Section – A Question 1. The government has started promoting …

## CBSE Previous Year Question Papers Class 12 Economics 2015 Delhi

CBSE Previous Year Question Papers Class 12 Economics 2015 Delhi Time allowed : 3 hours Maximum marks: 70 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2015 Delhi Set – I Section – A Question 1. Give equation of Budget Line. [1] Answer: The …

## CBSE Previous Year Question Papers Class 12 Economics 2015 Outside Delhi

CBSE Previous Year Question Papers Class 12 Economics 2015 Outside Delhi Time allowed : 3 hours Maximum marks: 70 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2015 Outside Delhi Set – I Section – A Question 1. Define indifference curve. [1] Answer: Indifference …

## CBSE Previous Year Question Papers Class 12 Economics 2016 Delhi

CBSE Previous Year Question Papers Class 12 Economics 2016 Delhi Time allowed : 3 hours Maximum marks: 70 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2016 Delhi Set – I Section – A Question 1. What is the relation between marginal cost and …

## CBSE Previous Year Question Papers Class 12 Economics 2016 Outside Delhi

CBSE Previous Year Question Papers Class 12 Economics 2016 Outside Delhi Time allowed : 3 hours Maximum marks: 70 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2016 Outside Delhi Set – I Section – A Question 1. What is the relation between …

## CBSE Previous Year Question Papers Class 12 Economics 2017 Delhi

CBSE Previous Year Question Papers Class 12 Economics 2017 Delhi Time allowed : 3 hours Maximum marks: 100 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2017 Delhi Set – I Section — A Question 1. The demand of commodity when measured through the …

## CBSE Previous Year Question Papers Class 12 Economics 2017 Outside Delhi

CBSE Previous Year Question Papers Class 12 Economics 2017 Outside Delhi Time allowed : 3 hours Maximum marks: 100 ** Answer is not given due to change in the present syllabus CBSE Previous Year Question Papers Class 12 Economics 2017 Outside Delhi Set – I Section – A Question 1. Any statement about demand for a …

## CBSE Previous Year Question Papers Class 12 Economics 2018

CBSE Previous Year Question Papers Class 12 Economics 2018 Time allowed : 3 hours Maximum marks: 80 General Instructions: All question in both sections are compulsory. Marks for questions are indicated against each questions. Question Nos. 1-4 and 13-16 are very short-answer questions carrying 1 marks each. They are required to be answered in one …

## CBSE Previous Year Question Papers Class 12 Economics Re-Exam 2018

CBSE Previous Year Question Papers Class 12 Economics Re-Exam 2018 Time allowed : 3 hours Maximum marks: 80 General Instructions: All question in both sections are compulsory. Marks for questions are indicated against each questions. Question Nos. 1-4 and 13-16 are very short-answer questions carrying 1 marks each. They are required to be answered in …

## CBSE Previous Year Question Papers Class 12 Economics 2019 Delhi

CBSE Previous Year Question Papers Class 12 Economics 2019 Delhi Time allowed : 3 hours Maximum marks: 80 General Instructions: All question in both sections are compulsory. Marks for questions are indicated against each questions. Question Nos. 1-4 and 13-16 are very short-answer questions carrying 1 marks each. They are required to be answered in …

## CBSE Previous Year Question Papers Class 12 Economics 2019 Outside Delhi

CBSE Previous Year Question Papers Class 12 Economics 2019 Outside Delhi Time allowed : 3 hours Maximum marks: 80 General Instructions: All question in both sections are compulsory. Marks for questions are indicated against each questions. Question Nos. 1-4 and 13-16 are very short-answer questions carrying 1 marks each. They are required to be answered …

## CBSE Previous Year Question Papers Class 12 Political Science 2013 Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2013 Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers to …

## CBSE Previous Year Question Papers Class 12 Political Science 2013 Outside Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2013 Outside Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers …

## CBSE Previous Year Question Papers Class 12 Political Science 2014 Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2014 Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers to …

## CBSE Previous Year Question Papers Class 12 Political Science 2014 Outside Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2014 Outside Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers …

## CBSE Previous Year Question Papers Class 12 Political Science 2015 Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2015 Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers to …

## CBSE Previous Year Question Papers Class 12 Political Science 2015 Outside Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2015 Outside Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers …

## CBSE Previous Year Question Papers Class 12 Political Science 2016 Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2016 Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers to …

## CBSE Previous Year Question Papers Class 12 Political Science 2016 Outside Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2016 Outside Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers …

## CBSE Previous Year Question Papers Class 12 Political Science 2017 Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2017 Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers to …

## CBSE Previous Year Question Papers Class 12 Political Science 2017 Outside Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2017 Outside Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers …

## CBSE Previous Year Question Papers Class 12 Political Science 2018 Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2018 Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers to …

## CBSE Previous Year Question Papers Class 12 Political Science 2018 Outside Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2018 Outside Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers …

## CBSE Previous Year Question Papers Class 12 Political Science 2019 Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2019 Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers to …

## CBSE Previous Year Question Papers Class 12 Political Science 2019 Outside Delhi

CBSE Previous Year Question Papers Class 12 Political Science 2019 Outside Delhi Time allowed : 3 hours Maximum marks : 100 General Instructions: All questions are compulsory. This questions paper has 27 questions in all. There are five sections in this question paper. Section A contains Questions number 1-5 of 1 mark each. The answers …

## CBSE Previous Year Question Papers Class 12 Geography 2013 Delhi

CBSE Previous Year Question Papers Class 12 Geography 2013 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 Question numbers …

## CBSE Previous Year Question Papers Class 12 Geography 2013 Outside Delhi

CBSE Previous Year Question Papers Class 12 Geography 2013 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 Question …

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CBSE Previous Year Question Papers Class 12 Geography 2014 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 Question numbers …

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CBSE Previous Year Question Papers Class 12 Geography 2014 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions: There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 Question …

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CBSE Previous Year Question Papers Class 12 Geography 2015 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions : There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 Question …

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CBSE Previous Year Question Papers Class 12 Geography 2015 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions : There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 …

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CBSE Previous Year Question Papers Class 12 Geography 2016 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions : There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 Question …

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CBSE Previous Year Question Papers Class 12 Geography 2016 Outside Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions : There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 …

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CBSE Previous Year Question Papers Class 12 Geography 2017 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions : There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 Question …

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CBSE Previous Year Question Papers Class 12 Geography 2019 Delhi Time allowed : 3 hours Maximum marks: 70 General Instructions : There are 22 questions in all. All questions are compulsory. Question number 1 to 7 are very short-answer questions carrying 1 mark each. Answer to each of these questions should not exceed 40 Question …

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CBSE Previous Year Question Papers Class 12 History 2014 Outside Delhi Time allowed : 3 hours Maximum marks: 80 General Instructions: Answer all the questions. Some questions have internal choice. Marks are indicated against each question. Answer to questions no. 1 to 3 carrying 2 marks should not exceed 30 words each. Answer to questions …

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CBSE Previous Year Question Papers Class 12 Chemistry 2015 Outside Delhi Time allowed: 3 hours Maximum Marks: 70 General Instructions All questions are compulsory. Section A: Questions number 1 to 5 are very short answer questions and carry 1 mark each. Section B: Questions number 6 to 12 are short answer questions and carry 2 …

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CBSE Previous Year Question Papers Class 12 Chemistry 2017 Outside Delhi Time allowed: 3 hours Maximum Marks: 70 General Instructions All questions are compulsory. Section A: Questions number 1 to 5 are very short answer questions and carry 1 mark each. Section B: Questions number 6 to 12 are short answer questions and carry 2 …

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CBSE Previous Year Question Papers Class 12 Chemistry 2018 Time allowed: 3 hours Maximum Marks: 70 General Instructions All questions are compulsory. Section A: Questions number 1 to 5 are very short answer questions and carry 1 mark each. Section B: Questions number 6 to 12 are short answer questions and carry 2 marks each. …

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## NCERT solution class 12 English chapter 14 Aunt Jennifer`s Tigers

Page No: 103 Before you Read What does the title of the poem suggest to you? Are you reminded of other poems on tigers? Answer The title, “Aunt Jennifer’s Tigers”, suggests that the poem is about Aunt Jennifer’s knitted tigers that, with their chivalric, ferocious, bright and carefree attitude, become an alternate world of her …

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Page No: 100 Before you Read Have you ever stopped at a roadside stand? What have you observed there? Answer The poet believes that when we encounter a beautiful thing, even for a small moment, the pleasure remains with us forever. It leaves a lasting impression that inspires us to live life with hope and optimism. …

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Page No: 98 Before you Read 1. What pleasure does a beautiful thing give us? Are beautiful things worth treasuring? Answer The world is filled with negative elements which make our life dull, sad, depressing and bereft of hope. In such moments, a beautiful thing gives us everlasting joy and helps us forget our sorrows. Yes, …

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Page No: 95 Before you Read   What does the title of the poem suggests to you? What do you think the poem is about? Answer The title of the poem suggests the importance of silence. The poem is about the importance of self-examination and introspection. It is also an appeal for universal harmony. Page …

## NCERT solution class 12 English chapter 10 An Elementary School Classroom in a Slum

Page No: 92 Before you Read 1. Have you ever visited or seen an elementary school in a slum? What does it look like? Answer Yes, I have visited an elementary school in a slum. The school was in a pitiful state. Its dingy and neglected classrooms were devoid of even basic amenities like fan and …

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Page No: 90 Before You Read Ageing is a natural process; have you ever thought what our elderly parents expect from us? Answer   Aged people usually undergo pangs of loneliness and need companionship. The pessimistic approach they develop towards life can be shunned only if we provide them with abundant love, care, importance and …

## NCERT solution class 12 English chapter 8 Going Places

Page No: 77 1. Notice these expressions in the text. Infer their meanings from the context. incongruity: quality of being unsuitable prodigy: a young person endowed with exceptional qualities chuffed: very pleased solitary elm: a secluded tall tree arcade: a passage or a walkway with shops and stalls on either side amber glow: orange-yellow light of the lamp wharf: a place beside the …

## NCERT solution class 12 English chapter 7 The Interview

Page No: 69 Think As you Read 1. What are some of the positive views on interviews? Answer Interview, in the 130 years of its existence, has become an inherent part of journalism. It is a useful means of communication that is, at times, considered to be an art, serving as a source of truth. …

## NCERT solution class 12 English chapter 6 Poets and Pancakes

Page No: 57 1. Notice these words and expressions in the text. Infer their meaning from the context. blew over: give a long, angry speech of criticism or accusation was struck dumb: render speechless, as by surprise or shock catapulted into: to shoot forth or launch a coat of mail: an armoured coat made of chain mail, interlinked rings, or …

## NCERT solution class 12 English chapter 5 Indigo

Page No: 46 1. Notice these expressions in the text. Infer their meanings from the context. urge the departure: insist on the going away of the British from India conflict of duties: clash of obligation or responsibility harbor a man like me: give shelter to an advocate of home-rule seek a prop: try to find support or assistance Page No: …

## NCERT solution class 12 English chapter 4 The Rattrap

Page No: 32 1. Notice these expressions in the text. Infer their meanings from the context. keep body and soul together: to manage to keep alive; to survive hunger gleamed in his eyes: feeling so hungry that the expression shows on one’s face plods along the road: moving along the road slowly but deliberately, to walk with a heavy …

## NCERT solution class 12 English chapter 3 Deep Water

Page No: 23 1. Notice these words and expressions in the text. Infer their meaning from the context. treacherous: unpredictable danger; not dependable or trustworthy subdued my prid: to lower or restrain the intensity of self-respect and confidence flailed at the surface: to strike or lash out vigorously at the surface of the water in trying to come out …

## NCERT solution class 12 English chapter 2 Lost Spring

Page No: 13 1. Notice these expressions in the text. Infer their meaning from the context. looking for: try to locate or discover slog their daylight hours: struggle persistently during the daytime roof over his head: a place to live perpetual state of poverty: endless impoverishment dark hutments: encampment of huts devoid of any light imposed the baggage on the child: force …

## NCERT solution class 12 English chapter 1 The Last Lesson

Page No: 2 1. Notice these expressions in the text. Infer their meanings from the context. in great dread of: fearful in anticipation of something counted on: to rely or trust on somebody/something thumbed at the edges: worn or soiled edges caused by frequent handling in unison:something happening or being done at the same time a great bustle: an excited …

## NCERT solution class 12 English chapter 8 Memories of Childhood

Page No: 100 Reading with Insight 1. The two accounts that you read above are based in two distant cultures. What is the commonality of theme found in both of them? Answer The autobiographical accounts included in the “Memories of Childhood” are by two women from socially marginalized sections in two distant cultures of the world. …

## NCERT solution class 12 English chapter 7 Evans Tries an O-level

Page No: 70 Read and Find Out 1. What kind of a person was Evans? Answer Evans was a young, clever prisoner. He had escaped thrice from the prison for which he was known ‘Evans the Break’. He was not a violent sort of a person. He was quite a pleasant person and was a star …

## NCERT solution class 12 English chapter 6 On the Face of It

Page No: 56 Read and Find Out 1. Who is Mr. Lamb? How does Derry get into his garden? Answer Mr Lamb is an old man with a tin leg. His real leg was blown off years ago during the war. He lives all alone in his house. There is a garden near the house. It …

## NCERT solution class 12 English chapter 5 Should Wizard Hit Mommy?

Page No: 48 Read and Find Out 1. Who is Jo? How does she respond to her father’s story telling? Answer Jo is the shortened form of Joanne. She is the four year old daughter of Jack and Clare. For the last two years, her father, Jack, has been telling her bed-time stories. Since these stories …

## NCERT solution class 12 English chapter 4 Journey to the End of the Earth

Page No: 19 Read and Find Out 1. How do geological phenomena help us to know about the history of humankind? Answer The geological phenomenon of separating various continents and water bodies from one compact landmass tells us about the age of existence of human race on the earth. Six hundred and fifty million years ago, …

## NCERT solution class 12 English chapter 3 The Enemy

Page No: 24 Read and Find Out 1. Who was Dr Sadao? Where was his house? Answer   Dr Sadao Hoki was an eminent Japanese surgeon and scientist. He had spent eight valuable years of his youth in America to learn all that could be learnt of surgery and medicine there. He was perfecting a discovery …

## NCERT solution class 12 English chapter 2 The Tiger King

Page No: 8 Read and Find Out 1. Who is the Tiger King? Why does he get that name? Answer Jilani Jung Jung Bahadur, the king of Pratibandapuram, is known as the Tiger King. At the time of his birth the astrologers declared that the prince would have to die one day. The ten-day-old prince asked the …

## NCERT solution class 12 English chapter 1 The Third Level

Page No: 7 Read and Find Out 1. What does the third level refer to? Answer The third level refers to the subway of the Grand Central Station that takes passengers to Galesburg, Illinois. The third level on the station was a medium of escape for Charley, the narrator from the harsh realities of modern life. …

## NCERT solution class 12 science biology chapter 16 Environmental Issues

Page No 286: Question 1: What are the various constituents of domestic sewage? Discuss the effects of sewage discharge on a river. Answer: Domestic sewage is the waste originating from the kitchen, toilet, laundry, and other sources. It contains impurities such as suspended solid (sand, salt, clay), colloidal material (fecal matter, bacteria, plastic and cloth …

## NCERT solution class 12 science biology chapter 15 Biodiversity and Conservation

Page No 268: Question 1: Name the three important components of biodiversity. Answer: Biodiversity is the variety of living forms present in various ecosystems. It includes variability among life forms from all sources including land, air, and water. Three important components of biodiversity are: (a) Genetic diversity (b) Species diversity (c) Ecosystem diversity Question 2: How do ecologists …

## NCERT solution class 12 science biology chapter 14 Ecosystem

Page No 256: Question 1: Fill in the blanks. (a) Plants are called as_________ because they fix carbon dioxide. (b) In an ecosystem dominated by trees, the pyramid (of numbers) is _________ type. (c) In aquatic ecosystems, the limiting factor for the productivity is _________. (d) Common detritivores in our ecosystem are_________. (e) The major reservoir of carbon on earth …

## NCERT solution class 12 science biology chapter 13 Organisms and Populations

Page No 239: Question 1: How is diapause different from hibernation? Answer: Diapause is a stage of suspended development to cope with unfavourable conditions. Many species of Zooplankton and insects exhibit diapause to tide over adverse climatic conditions during their development. Hibernation or winter sleep is a resting stage where in animals escape winters (cold) …

## NCERT solution class 12 science biology chapter 12 Biotechnology and its Applications

Page No 215: Question 1: Crystals of Bt toxin produced by some bacteria do not kill the bacteria themselves because − (a) bacteria are resistant to the toxin (b) toxin is immature: (c) toxin is inactive: (d) bacteria encloses toxin in a special sac. Answer: toxin is inactive: In bacteria, the toxin is present in an inactive form, called …

## NCERT solution class 12 science biology chapter 11 Biotechnology: Principles and Processes

Page No: 205 Exercises Can you list 10 recombinant proteins which are used in medical practice? Find out where they are used as therapeutics (use the internet). Answer Recombinant proteins are obtained from the recombinant DNA technology. This technology involves the transfer of specific genes from an organism into another organism using vectors and restriction …

## NCERT solution class 12 science biology chapter 10 Microbes in Human Welfare

Page No 189: Question 1: Bacteria cannot be seen with the naked eyes, but these can be seen with the help of a microscope. If you have to carry a sample from your home to your biology laboratory to demonstrate the presence of microbes under a microscope, which sample would you carry and why? Answer: …

## NCERT solution class 12 science biology chapter 9 Strategies for Enhancement in Food Production

Page No 178: Question 1: Explain in brief the role of animal husbandry in human welfare. Answer: Animal husbandry deals with the scientific management of livestock. It includes various aspects such as feeding, breeding, and control diseases to raise the population of animal livestock. Animal husbandry usually includes animals such as cattle, pig, sheep, poultry, …

## NCERT solution class 12 science biology chapter 8 Human Health and Disease

Page No 164: Question 1: What are the various public health measures, which you would suggest as safeguard against infectious diseases? Answer: Public health measures are preventive measures which are taken to check the spread of various infectious diseases. These measures should be taken to reduce the contact with infectious agents. Some of these methods …

## NCERT solution class 12 science biology chapter 7 Evolution

Page No 142: Question 1: Explain antibiotic resistance observed in bacteria in light of Darwinian selection theory. Answer: Darwinian selection theory states that individuals with favourable variations are better adapted than individuals with less favourable variation. It means that nature selects the individuals with useful variation as these individuals are better evolved to survive in …

## NCERT solution class 12 science biology chapter 6 Molecular Basis of Inheritance

Page No 125: Question 1: Group the following as nitrogenous bases and nucleosides: Adenine, Cytidine, Thymine, Guanosine, Uracil and Cytosine. Answer: Nitrogenous bases present in the list are adenine, thymine, uracil, and cytosine. Nucleosides present in the list are cytidine and guanosine. Question 2: If a double stranded DNA has 20 per cent of cytosine, …

## NCERT solution class 12 science biology chapter 5 Principles of Inheritance and Variation

Page No 93: Question 1: Mention the advantages of selecting pea plant for experiment by Mendel. Answer: Mendel selected pea plants to carry out his study on the inheritance of characters from parents to offspring. He selected a pea plant because of the following features. (a) Peas have many visible contrasting characters such as tall/dwarf plants, …

## NCERT solution class 12 science biology chapter 4 Reproductive Health

Page No 66: Question 1: What do you think is the significance of reproductive health in a society? Answer: Reproductive health is the total well being in all aspects of reproduction. It includes physical, emotional, behavioural, and social well being. Sexually transmitted diseases such as AIDS, gonorrhoea, etc. are transferred from one individual to another …

## NCERT solution class 12 science biology chapter 3 Human Reproduction

Page No 55: Question 1: Fill in the blanks: (a) Humans reproduce __________. (asexually/sexually) (b) Humans are__________. (oviparous/viviparous/ovoviviparous) (c) Fertilization is __________ in humans. (external/internal) (d) Male and female gametes are __________. (diploid/haploid) (e) Zygote is __________. (diploid/haploid) (f) The process of release of the ovum from a mature follicle is called__________. (g) Ovulation is induced by a hormone called the __________. …

## NCERT solution class 12 science biology chapter 2 Sexual Reproduction in Flowering Plants

Page No 40: Question 1: Name the parts of an angiosperm flower in which development of male and female gametophyte take place. Answer: The male gametophyte or the pollen grain develops inside the pollen chamber of the anther, whereas the female gametophyte (also known as the embryo sac) develops inside the nucellus of the ovule …

## NCERT solution class 12 science biology chapter 1 Reproduction in Organisms

Page No 17: Question 1: Why is reproduction essential for organisms? Answer: Reproduction is a fundamental feature of all living organisms. It is a biological process through which living organisms produce offspring’s similar to them. Reproduction ensures the continuance of various species on the Earth. In the absence of reproduction, the species will not be …

## NCERT solution class 12 science chemistry part 2 chapter 7 Chemistry in Everyday Life

Page No 448: Question 16.1: Sleeping pills are recommended by doctors to the patients suffering from sleeplessness but it is not advisable to take its doses without consultation with the doctor, Why? Answer: Most drugs when taken in doses higher than recommended may cause harmful effects and sometimes, may even lead to death. Hence, a …

## NCERT solution class 12 science chemistry part 2 chapter 6 Polymers

Page No 428: Question 15.1: What are polymers? Answer: Polymers are high molecular mass macromolecules, which consist of repeating structural units derived from monomers. Polymers have a high molecular mass (103 − 107 u). In a polymer, various monomer units are joined by strong covalent bonds. These polymers can be natural as well as synthetic. Polythene, rubber, …

## NCERT solution class 12 science chemistry part 2 chapter 5 Biomolecules

Page No 412: Question 14.1: Glucose or sucrose are soluble in water but cyclohexane or benzene (simple six membered ring compounds) are insoluble in water. Explain. Answer: A glucose molecule contains five −OH groups while a sucrose molecule contains eight −OH groups. Thus, glucose and sucrose undergo extensive H-bonding with water. Hence, these are soluble …

## NCERT solution class 12 science chemistry part 2 chapter 4 Amines

Page No 384: Question 13.1: Classify the following amines as primary, secondary or tertiary: (i) (ii) (iii) (C2H5)2CHNH2 (iv) (C2H5)2NH   Answer: Primary: (i) and (iii) Secondary: (iv) Tertiary: (ii) Question 13.2: (i) Write structures of different isomeric amines corresponding to the molecular formula, C4H11N (ii) Write IUPAC names of all the isomers. (iii) What type of isomerism is exhibited by different pairs of amines? …

## NCERT solution class 12 science chemistry part 2 chapter 3 Aldehydes Ketones and Carboxylic Acids

Page No 353: Question 12.1: Write the structures of the following compounds. (i) α-Methoxypropionaldehyde (ii) 3-Hydroxybutanal (iii) 2-Hydroxycyclopentane carbaldehyde (iv) 4-Oxopentanal (v) Di-sec-butyl ketone (vi) 4-Fluoroacetophenone Answer: (i) (ii) (iii) (iv) (v) (vi) Page No 356: Question 12.2: Write the structures of products of the following reactions; (i) (ii) (iii) (iv) Answer: (iv) Page No 358: Question 12.3: Arrange the following …

## NCERT solution class 12 science chemistry part 2 chapter 2 Alcohols, Phenols and Ethers

Page No 317: Question 11.1: Classify the following as primary, secondary and tertiary alcohols: (i) (ii)  (iii)  (iv) (v) (vi) Answer: Primary alcohol → (i), (ii), (iii) Secondary alcohol → (iv), (v) Tertiary alcohol → (vi) Question 11.2: Identify allylic alcohols in the above examples. Answer: The alcohols given in (ii) and (vi) are allylic …

## NCERT solution class 12 science chemistry part 2 chapter 1 Haloalkanes and Haloarenes

Page No 285: Question 10.1: Write structures of the following compounds: (i) 2-Chloro-3-methylpentane (ii) 1-Chloro-4-ethylcyclohexane (iii) 4-tert. Butyl-3-iodoheptane (iv) 1,4-Dibromobut-2-ene (v) 1-Bromo-4-sec. butyl-2-methylbenzene Answer: (i) 2-Chloro-3-methyl pentane (ii) 1-Chloro-4-ethylcyclohexane (iii) 4- tert-Butyl-3-iodoheptane (iv) 1, 4-Dibromobut-2-ene (v) 1-Bromo-4-sec-butyl-2-methylbenzene Page No 289: Question 10.2: Why is sulphuric acid not used during the reaction of alcohols with KI? Answer: In the presence of …

## NCERT solution class 12 science chemistry part 1 chapter 9 Coordination Compounds

Page No 244: Question 9.1: Write the formulas for the following coordination compounds: (i) Tetraamminediaquacobalt(III) chloride (ii) Potassium tetracyanonickelate(II) (iii) Tris(ethane−1,2−diamine) chromium(III) chloride (iv) Amminebromidochloridonitrito-N-platinate(II) (v) Dichloridobis(ethane−1,2−diamine)platinum(IV) nitrate (vi) Iron(III) hexacyanoferrate(II) Answer: (i)  (ii)  (iii)  (vi)  (v)  (vi)  Question 9.2: Write the IUPAC names of the following coordination compounds: (i) [Co(NH3)6]Cl3 (ii) [Co(NH3)5Cl]Cl2 (iii) K3[Fe(CN)6] (iv) K3[Fe(C2O4)3] (v) K2[PdCl4] (vi) [Pt(NH3)2Cl(NH2CH3)]Cl Answer: (i) Hexaamminecobalt(III) chloride (ii) Pentaamminechloridocobalt(III) chloride (iii) Potassium …

## NCERT solution class 12 science chemistry part 1 chapter 8 The d-and f-Block Elements

Page No 212: Question 8.1: Silver atom has completely filled d orbitals (4d10) in its ground state. How can you say that it is a transition element? Answer: Ag has a completely filled 4d orbital (4d10 5s1) in its ground state. Now, silver displays two oxidation states (+1 and +2). In the +1 oxidation state, an electron is removed …

## NCERT solution class 12 science chemistry part 1 chapter 7 The p-Block Elements

Page No 169: Question 7.1: Why are pentahalides more covalent than trihalides? Answer: In pentahalides, the oxidation state is +5 and in trihalides, the oxidation state is +3. Since the metal ion with a high charge has more polarizing power, pentahalides are more covalent than trihalides. Question 7.2: Why is BiH3 the strongest reducing agent amongst …

## NCERT solution class 12 science chemistry part 1 chapter 6 General Principles and Processes of Isolation of Elements

Page No 150: Question 6.1: Which of the ores mentioned in Table 6.1 can be concentrated by magnetic separation method? Answer: If the ore or the gangue can be attracted by the magnetic field, then the ore can be concentrated by the process of magnetic separation. Among the ores mentioned in table 6.1, the ores …

## NCERT solution class 12 science chemistry part 1 chapter 5 Surface Chemistry

Page No 127: Question 5.1: Write any two characteristics of Chemisorption. Answer: 1. Chemisorption is highly specific in nature. It occurs only if there is a possibility of chemical bonding between the adsorbent and the adsorbate. 2. Like physisorption, chemisorption also increases with an increase in the surface area of the adsorbent. Question 5.2: Why does physisorption …

## NCERT solution class 12 science chemistry part 1 chapter 4 Chemical Kinetics

Page No 98: Question 4.1: For the reaction R → P, the concentration of a reactant changes from 0.03 M to 0.02 M in 25 minutes. Calculate the average rate of reaction using units of time both in minutes and seconds. Answer: Average rate of reaction  = 6.67 × 10−6 M s−1 Question 4.2: In a …

## NCERT solution class 12 science chemistry part 1 chapter 2 Solutions

Page No 37: Question 2.1: Calculate the mass percentage of benzene (C6H6) and carbon tetrachloride (CCl4) if 22 g of benzene is dissolved in 122 g of carbon tetrachloride. Answer: Mass percentage of C6H6  Mass percentage of CCl4 Alternatively, Mass percentage of CCl4 = (100 − 15.28)% = 84.72% Question 2.2: Calculate the mole fraction of …

## NCERT solution class 12 science chemistry part 1 chapter 1 The Solid State

Page No 4: Question 1.1: Why are solids rigid? Answer: The intermolecular forces of attraction that are present in solids are very strong. The constituent particles of solids cannot move from their positions i.e., they have fixed positions. However, they can oscillate about their mean positions. This is the reason solids are rigid. Question 1.2: …

## NCERT solution class 12 science physics part 2 chapter 7 Communication Systems

Page No 530: Question 15.1: Which of the following frequencies will be suitable for beyond-the-horizon communication using sky waves? (a) 10 kHz (b) 10 MHz (c) 1 GHz (d) 1000 GHz Answer: (b) Answer: 10 MHz For beyond-the-horizon communication, it is necessary for the signal waves to travel a large distance. 10 KHz signals cannot be radiated efficiently because …

## NCERT solution class 12 science physics part 2 chapter 6 Semiconductor Electronics: Materials Devices and Simple Circuits

Page No 509: Question 14.1: In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the …

## NCERT solution class 12 science physics part 2 chapter 5 Nuclei

Page No 462: Question 13.1: (a) Two stable isotopes of lithium  and have respective abundances of 7.5% and 92.5%. These isotopes have masses 6.01512 u and 7.01600 u, respectively. Find the atomic mass of lithium. (b) Boron has two stable isotopes, and. Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is …

## NCERT solution class 12 science physics part 2 chapter 4 Atoms

Page No 435: Question 12.1: Choose the correct alternative from the clues given at the end of the each statement: (a) The size of the atom in Thomson’s model is ………. the atomic size in Rutherford’s model. (much greater than/no different from/much less than.) (b) In the ground state of ………. electrons are in stable equilibrium, while …

## NCERT solution class 12 science physics part 2 chapter 3 Dual Nature Of Radiation And Matter

Page No 407: Question 11.1: Find the (a) maximum frequency, and (b) minimum wavelength of X-rays produced by 30 kV electrons. Answer: Potential of the electrons, V = 30 kV = 3 × 104 V Hence, energy of the electrons, E = 3 × 104 eV Where, e = Charge on an electron = 1.6 × 10−19 C (a)Maximum frequency produced by the X-rays = ν …

## NCERT solution class 12 science physics part 2 chapter 2 Wave Optics

Page No 383: Question 10.1: Monochromatic light of wavelength 589 nm is incident from air on a water surface. What are the wavelength, frequency and speed of (a) reflected, and (b) refracted light? Refractive index of water is 1.33. Answer: Wavelength of incident monochromatic light, λ = 589 nm = 589 × 10−9 m Speed of …

## NCERT solution class 12 science physics part 2 chapter 1 Ray Optics And Optical Instruments

Page No 345: Question 9.1: A small candle, 2.5 cm in size is placed at 27 cm in front of a concave mirror of radius of curvature 36 cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image? Describe the nature and size of the image. …

## NCERT solution class 12 science physics part 1 chapter 8 Electromagnetic Waves

Page No 285: Question 8.1: Figure 8.6 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15 A. (a) Calculate the capacitance and the rate …

## NCERT solution class 12 science physics part 1 chapter 7 Alternating Current

Page No 266: Question 7.1: A 100 Ω resistor is connected to a 220 V, 50 Hz ac supply. (a) What is the rms value of current in the circuit? (b) What is the net power consumed over a full cycle? Answer: Resistance of the resistor, R = 100 Ω Supply voltage, V = 220 V Frequency, ν = 50 Hz (a) The rms value …

## NCERT solution class 12 science physics part 1 chapter 6 Electromagnetic Induction

Page No 229: Question 6.1: Predict the direction of induced current in the situations described by the following Figs. 6.18(a) to (f ). (a) (b) (c) (d) (e) (f) Answer: The direction of the induced current in a closed loop is given by Lenz’s law. The given pairs of figures show the direction of the …

## NCERT solution class 12 science physics part 1 chapter 5 Magnetism And Matter

Page No 200: Question 5.1: Answer the following questions regarding earth’s magnetism: (a) A vector needs three quantities for its specification. Name the three independent quantities conventionally used to specify the earth’s magnetic field. (b) The angle of dip at a location in southern India is about 18º. Would you expect a greater or smaller dip angle …

## NCERT solution class 12 science physics part 1 chapter 4 Moving Charges And Magnetism

Page No 169: Question 4.1: A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the coil? Answer: Number of turns on the circular coil, n = 100 Radius of each turn, r = 8.0 cm = 0.08 …

## NCERT solution class 12 science physics part 1 chapter 3 Current Electricity

Page No 127: Question 3.1: The storage battery of a car has an emf of 12 V. If the internal resistance of the battery is 0.4Ω, what is the maximum current that can be drawn from the battery? Answer: Emf of the battery, E = 12 V Internal resistance of the battery, r = 0.4 Ω Maximum current drawn …

## NCERT solution class 12 science physics part 1 chapter 2 Electrostatic Potential And Capacitance

Page No 87: Question 2.1: Two charges 5 × 10−8 C and −3 × 10−8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero. Answer: There are two charges, Distance between the two charges, d = 16 cm = …

## NCERT solution class 12 science physics part 1 chapter 1 Electric Charges And Fields

Page No 46: Question 1.1: What is the force between two small charged spheres having charges of 2 × 10−7 C and 3 × 10−7 C placed 30 cm apart in air? Answer: Repulsive force of magnitude 6 × 10−3 N Charge on the first sphere, q1 = 2 × 10−7 C Charge on the second sphere, q2 = 3 × 10−7 C Distance …

## Rd sharma solution class 12 chapter continuity

Exercise 9.2 Question 1 Prove that the function is everywhere continuous . Sol : When , we have We know that sin x as well as the identity function x are everywhere continuous . So , the quotient function is continuous at each point When , we have , which is a polynomial function . Therefore, is …

## Rd sharma solution class 12 chapter 2 functions

Exercise 3.1 Question 1 Give an example of a function (i) which is one-one but not onto Sol : Injectivity : Let x and y be any two elements in the domain (Z) , such that  So , is one-one   Surjectivity : Let y be any element in the co-domain (Z) , such that for some …

## Rd sharma solution class 12 chapter Relations

Exercise 1.1 Question 1 Let A be the set of all human beings in a town at a particular time. Determine whether each of the following relations are reflexive, symmetric and transitive: (i) R = {(x , y) : x and y work at the same place } Sol : (Reflexivity) Let x be an …

## Rd sharma solution class 12 chapter Differentiation

Exercise 11.2 Question 1 Differentiate  Sol : Let  Differentiating y with respect to x we get, So,     Question 2 Differentiate Sol : Let  which can be written as Differentiating y with respect to x we get, So,     Question 3 Differentiate Sol : Let  Differentiating y with respect to x we get, …

## Rd sharma solution class 12 chapter Inverse trigonometric functions

Exercise 4.1 Question 1  Find the principal value of each of the following: (i) Sol :   (ii) Sol :   (iii)  Sol :       (iv)   Sol :             (v) Sol :   (vi) Sol : Let Therefore We know that principal value of and Therefore principle …

## Rd sharma solution class 12 chapter Continuity

Exercise 9.1 Question 1 Test the continuity of the function on at the origin: Sol : Given We observe (LHL at x= 0) =-1   (RHL at x = 0) =1 Hence, is discontinuous at the origin.   Question 2 A function is defined as  Show that is continuous that Sol : Given We observe …

## Rd sharma solution class 1 chapter Indefinite integrals

Exercise 19.2 Question 1

## Rd sharma solution class 1 chapter Indefinite integrals

Exercise 19.1 Question 1 Evaluate each of the following integrals: (i) Sol :   (ii) Sol :   (iii) Sol :   (iv)  Sol :   (v)  Sol :   (vi)  Sol :   (vii) Sol :   (viii) Sol :     Question 2 Evaluate : (i) Sol :   (ii)  Sol :   …

## RD Sharma solution class 12 chapter 28 Straight line in space

Exercise 28.1 Question 1 Find the vector and cartesian equations of the line through the point and which is parallel to the vector   Sol : We know that the vector equation of a line passing through a point with position vector and parallel to is   Here, Vector equation of the required line is given …

## RD sharma solution class 12 chapter determinants

Determinants Exercise 6.1 Question 1 Write the minors and cofactors of each element of the first column of the following matrices and hence evaluate the determinant in each case: (i) A = Sol : In a matrix, the minor is obtained for a particular element , by deleting that row and column where the element …

## Derivative as a rate measure

Derivative as a rate measure Exercise 13.1 1. Find the rate of change of the total surface area of a cylinder of radius r and height h, when the radius varies. Sol :   2. Find the rate of change of the volume of a sphere with respect to its diameter. Sol :   3. …

## DIFFERENTIATION

Differentiation Exercise 11.1 Differentiate the following functions from first principles : QUESTION 1 Sol :   QUESTION 2 Sol : QUESTION 3 Sol :   QUESTION 4 Sol :   QUESTION 5 Sol :   Question 6 Sol : Question 7 Sol :   Sol :   Sol :   Sol :

## Rd sharma solution Chapter 5 Algebra of matrices

Exercise 5.1 Exercise 5.2  Exercise 5.3 EXERCISE 5.1 Question 1 If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements? Sol: Order of matrix = number of rows ​ number of column OR Total number of elements = number of rows number of column Thus, …

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