You cannot copy content of this page

RD sharma

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 33 Binomial Distribution Read More »

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 32 Mean and Variance of  a Random Variable Read More »

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 31 Probability Read More »

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 30 Linear Programming Read More »

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 28 Straight Line in Space Read More »

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 27 Direction Cosines and Direction Ratios Read More »

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 26 Scalar Triple Product Read More »

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 25 Vectors or Cross Product Read More »

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 24 Scalar or Dot Product Read More »

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 23 Algebra of Vectors Read More »

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 22 Differential Equations Read More »

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 21 Areas of Bounded Regions Read More »

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 20 Definite Integrals Read More »

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 19 Indefinite Integrals Read More »

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 18 Maxima and Minima Read More »

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 17 Increasing and Decreasing Functions Read More »

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 16 Tangents and Normals  Read More »

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 15 Mean Value Theorems Read More »

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 14 Differentials , Errors and Approximations Read More »

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 13 Derivative as Rate Measurer Read More »

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 12 Higher Order Derivatives Read More »

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 11 Differentiation Read More »

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 10 Differentiability Read More »

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 9 Continuity Read More »

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 8 Solution of Simultaneous Linear Equations Read More »

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 7 Adjoint and Inverse of a Matrix Read More »

RD Sharma Solution CLass 12 Mathematics Chapter 6 Determinants

Chapter 6 – Determinants Exercise Ex. 6.1 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 6 Determinants Read More »

RD Sharma Solution CLass 12 Mathematics Chapter 4 Inverse Trigonometric Functions

Chapter 4 – Inverse Trigonometric Functions Exercise Ex. 4.1 Question 1 Find the value of each of the following : Solution 1 Question 2 Find the value of each of the following : Solution 2 Question 3 Find the value of each of the following : Solution 3 Question 4 Find the value of each …

RD Sharma Solution CLass 12 Mathematics Chapter 4 Inverse Trigonometric Functions Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 33 Probability

Chapter 33 – Probability 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 Question 9 Solution 9 Question 10 An experiment consists of tossing a coin and then tossing …

RD Sharma Solution CLass 11 Mathematics Chapter 33 Probability Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 31 Mathematical Reasoning

Chapter 31 – Mathematical Reasoning 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 It is not a statement. The sentence “This sentence is a …

RD Sharma Solution CLass 11 Mathematics Chapter 31 Mathematical Reasoning Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 30 Derivatives

Chapter 30 – Derivatives Exercise Ex. 30.2 Question 1 Differentiate -x using first principles. Solution 1 Question 2 Differentiate (-x)-1 using first principles. Solution 2 Question 3 Differentiate sin(x + 1) using first principles. Solution 3 Question 4 Differentiate cos using first principles. Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 …

RD Sharma Solution CLass 11 Mathematics Chapter 30 Derivatives Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 28 Introduction to 3D Coordinate Geometry

Chapter 28 – Introduction to 3-D coordinate geometry Exercise Ex. 28.1 Question 1 Name the octants in which the following points lie:  (i) (5, 2, 3)           Solution 1 All are positive, so octant is XOYZ   Question 2 Name the octants in which the following points lie: (ii) (-5, 4, …

RD Sharma Solution CLass 11 Mathematics Chapter 28 Introduction to 3D Coordinate Geometry Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 27 Hyperbola

Chapter 27 – Hyperbola Exercise Ex. 27.1 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 11 Mathematics Chapter 27 Hyperbola Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 26 Ellipse

Chapter 26 – Ellipse 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 Find the eccentricity, coordinates of foci, length of the latus-rectum …

RD Sharma Solution CLass 11 Mathematics Chapter 26 Ellipse Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 24 The Circle

Chapter 24 – The Circle 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 12 Solution …

RD Sharma Solution CLass 11 Mathematics Chapter 24 The Circle Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 23 The Straight Lines

Chapter 23 – The Straight Lines 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 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 …

RD Sharma Solution CLass 11 Mathematics Chapter 23 The Straight Lines Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 22 Brief Review of Cartesian System of Rectangular Coordinates

Chapter 22 – Brief Review of Cartesian System of Rectangular Coordinates 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 Chapter 22 – Brief Review of Cartesian System of …

RD Sharma Solution CLass 11 Mathematics Chapter 22 Brief Review of Cartesian System of Rectangular Coordinates Read More »

RD Sharma Solution Class 11 Mathematics Chapter 21 Some Special Series

Chapter 21 – Some Special Series 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 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 …

RD Sharma Solution Class 11 Mathematics Chapter 21 Some Special Series Read More »

RD Sharma Solution Class 11 Mathematics Chapter 20 Geometric Progressions

Chapter 20 – Geometric Progressions 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 11 Mathematics Chapter 20 Geometric Progressions Read More »

RD Sharma Solution Class 11 Mathematics Chapter 18 Binomial Theorem

Chapter 18 – Binomial Theorem 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 Question 10 Solution 10 Question 11 Solution 11 Question 12 Solution …

RD Sharma Solution Class 11 Mathematics Chapter 18 Binomial Theorem Read More »

RD Sharma Solution Class 11 Mathematics Chapter 17 Combinations

Chapter 17 – Combinations 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 Question 10 Solution 10 Question 11 Solution 11 Question 12 Solution 12 …

RD Sharma Solution Class 11 Mathematics Chapter 17 Combinations Read More »

RD Sharma Solution Class 11 Mathematics Chapter 16 Permutations

Chapter 16 – Permutations 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 12 Solution 12 …

RD Sharma Solution Class 11 Mathematics Chapter 16 Permutations Read More »

RD Sharma Solution Class 11 Mathematics Chapter 15 Linear Inequations

Chapter 15 – Linear Inequations 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 Solution …

RD Sharma Solution Class 11 Mathematics Chapter 15 Linear Inequations Read More »

RD Sharma Solution Class 11 Mathematics Chapter 14 Quadratic Equations

Chapter 14 – Quadratic Equations 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 12 Solution …

RD Sharma Solution Class 11 Mathematics Chapter 14 Quadratic Equations Read More »

RD Sharma Solution Class 11 Mathematics Chapter 13 Complex Numbers

Chapter 13 – Complex Numbers 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 Solution 10 Question 11 Solution 11 Question 12 Solution …

RD Sharma Solution Class 11 Mathematics Chapter 13 Complex Numbers Read More »

RD Sharma Solution Class 11 Mathematics Chapter 12 Mathematical Induction

Chapter 12 – Mathematical Induction Exercise Ex. 12.1 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Chapter 12 – Mathematical Induction Exercise Ex. 12.2 Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution …

RD Sharma Solution Class 11 Mathematics Chapter 12 Mathematical Induction Read More »

RD Sharma Solution Class 11 Mathematics Chapter 11 Trigonometric Equations

Chapter 11 – Trigonometric Equations 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 Question 11 Solution 11 Question 12 Solution …

RD Sharma Solution Class 11 Mathematics Chapter 11 Trigonometric Equations Read More »

RD Sharma Solution Class 11 Mathematics Chapter 10 Sine and Cosine Formulae and Their Applications

Chapter 10 – Sine and Cosine Formulae and Their Applications 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 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 …

RD Sharma Solution Class 11 Mathematics Chapter 10 Sine and Cosine Formulae and Their Applications Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 9 Trigonometric Ratios of Multiple and Submultiple Angles

Chapter 9 – Trigonometric Ratios of Multiple and Submultiple Angles 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 …

RD Sharma Solution CLass 11 Mathematics Chapter 9 Trigonometric Ratios of Multiple and Submultiple Angles Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 8 Transformation Formulae

Chapter 8 – Transformation Formulae 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 prove that ten 20o tan …

RD Sharma Solution CLass 11 Mathematics Chapter 8 Transformation Formulae Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 7 Trigonometric Ratios of Compound Product 

Chapter 7 – Trigonometric Ratios of Compound Angles 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 11 Question …

RD Sharma Solution CLass 11 Mathematics Chapter 7 Trigonometric Ratios of Compound Product  Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 6 Graphs of Trigonometric Functions

Chapter 6 – Graphs of Trigonometric Functions Exercise Ex. 6.1 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 Sketch the graph of the following pairs of functions on the same axes: y = sin x, y = …

RD Sharma Solution CLass 11 Mathematics Chapter 6 Graphs of Trigonometric Functions Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 5 Trigonometric Functions

Chapter 5 – Trigonometric Functions Exercise Ex. 5.1 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 11 Mathematics Chapter 5 Trigonometric Functions Read More »

RD Sharma Solution CLass 11 Mathematics Chapter 4 Measurement of Angle

Chapter 4 – Measurement of Angles Exercise Ex. 4.1 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 11 Mathematics Chapter 4 Measurement of Angle Read More »

Rd sharma solution 2019 class 9 chapter 14 Areas of paralllelograms and triangles

Exercise 14.3 QUESTION 1 In the given f‌igure, compute the area of quadrilateral ABCD. Sol : Given : Here from the given figure we gwt (1) ABCD is a quadrilateral with base AB . (2) ΔABD is a right angled triangle. (3) ΔBCD is a right angled triangle with base BC right angled at B …

Rd sharma solution 2019 class 9 chapter 14 Areas of paralllelograms and triangles Read More »

Rd sharma solution 2019 class 9 chapter 14 Areas of paralllelograms and triangles

Exercise 14.1    Exercise 14.2 Exercise 14.1 QUESTION 1  Which of the following f‌igures lie on the same base and between the same parallels. In such a case, write the common base and two parallels: (i) Sol : (i) ΔAPB and trapezium ABCD are on the same base CD and between the same parallels AB …

Rd sharma solution 2019 class 9 chapter 14 Areas of paralllelograms and triangles Read More »

Circle

EXERCISE 24.3 QUESTION 1 Find the equation of the circle, the end points of whose diameter are $(2,-3)$ and $(-2,4)$ . Find its center and radius. Sol : $(2,-3)$ and $(-2,4)$ are the ends points of the diameter of a circle. The equation of this circle is $(x-2)(x+2)+(y+3)(y-4)=0$ $\Rightarrow x^{2}-4+y^{2}-4 y+3 y-12=0$ $\Rightarrow x^{2}+y^{2}-y-16=0 \quad …

Circle Read More »

Circle

EXERCISE 24.2 QUESTION 1 Find the co-ordinates of the center and radius of each of the following circles: (i) Sol : The given equation can be rewritten as Center And, radius = 7   (ii) Sol : The given equation can be rewritten as Center Radius   (iii) Sol : The given equation can be …

Circle Read More »

Circle

EXERCISE 24.1 QUESTION 1 Find the equation of the circle with : (i) Center $(-2,3)$ and radius 4 Sol : Let $(h, k)$ be the centre of a circle with radius a. Thus, its equation will be $(x-h)^{2}+(y-k)^{2}=a^{2}$ Here, $h=-2, k=3$ and $a=4$ $\therefore$ Required equation of the circle: $\Rightarrow (x+2)^{2}+(y-3)^{2}=4^{2}$ $\Rightarrow(x+2)^{2}+(y-3)^{2}=16$   (ii) Centre …

Circle Read More »

error: Content is protected !!
Free Web Hosting