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## NCERT solution class 9 chapter 9 Areas of Parallelograms and Triangles exercise 9.1 mathematics

EXERCISE 9.1 Page No 155: 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 the two parallels. (i) (ii) (iii) (iv) (v) (vi) Answer: (i) Yes. It can be observed that trapezium ABCD and triangle PCD have a …

## S.chand books class 8 maths solution chapter 29 Graphical Representation of Data exercise 29 C

EXERCISE 29 C Draw pie charts to represent the following information, working out the angles first. 1.The number of books lent out by a school library each day is shown in the following table. <div style=”overflow: auto;”> <table style=”border-collapse: collapse;” border=”1″> <tr><th>Day</th><td>Monday</td><td>Tuesday</td><td>Wednesday</td><td>Thrusday</td><td>Friday</td></tr> <tr><th>Number of books lent</th><td>10</td><td>25</td><td>33</td><td>16</td><td>6</td></tr> </table> </div> 2.The number of students in a hostel …

## S.chand publication solution of class 6 chapter 17 exercise 17D

EXERCISE 17D 1. In Fig. 1 name the following angles (i) an acute angle at T (ii) an acute angle at Q (iii) three obtuse angles (iv) a right angle (v) a straight angle 2. Classify the angles whose magnitudes are given below (i) 132 (ii) 26 (iii) 170 (iv) 30 (v) 79 (vi) 17.5 …

## NCERT solution class 7 chapter 4 simple equations exercise 4.2 mathematics

EXERCISE 4.2 QUESTION 1 Give f‌irst the step you will use to separate the variable and then solve the equation: (a) x+ 1 = 0 Sol : Adding 1 to both sides of the given equation, we obtain x – 1 + 1 = 0 + 1 x = 1   (b) x + 1 …

## learn latex

$[+preamble] \usepackage{polynom} [/preamble] \begin{document} \polylongdiv{x^3-2x^2+4x+7}{x+1} \end{document}$ $[+preamble] \usepackage{amsmath} [/preamble] \input{longdiv} \begin{document} \longdiv{100}{37} \end{document}$

## S.chand mathematics solution class 8 chapter 9 simple interest and compound interest

Exercise 9 (B) QUESTION 1 Find the amount and compound interest on 4000 at 12% p.a. for 2 years , compounded annually . Sol : Principal  for first year = 4000 and R = 12 , T = 1 year Interest for the first year = 480 Principal for the second year = 4000 + …

## S.chand mathematics solution class 8 chapter 9 simple interest and compound interest

Exercise 9 (A) QUESTION 1 What will be the simple interest for 1 year 4 months on a sum of 25800 at the rate of 14% p.a. ? Sol : We know = 4816   QUESTION 2 What will 5000 amount to at 8% p.a. for the period from april 6 , 2017 to june …

## S.chand books class 8 maths solution chapter Profit,Loss and Discount Exercise 8B

Exercise 8B QUESTION 1 The marked price of a saree is ₹ 3800 . The shopkeeper offers a discount of 15% during sale time . What is the selling price of saree ? Sol : Given : M.P = 3800 and Discount = 15% = 3,230   QUESTION 2 The marked price of a shirt …

## 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

Exercise 14.1    Exercise 14.2 Exercise 14.2 QUESTION 1  lf the given f‌igure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm. AE = 8 cm and CF =10 cm, f‌ind AD. Sol : Given: Here in the question it is given (1) ABCD is a parallelogram, (2) …

## NCERT solution class 7 chapter 9 Rational numbers exercise 9.1 mathematics

Exercise 9.1 QUESTION 1 List five rational numbers between: (i) -1 and 0 Sol : Let us write — 1 and 0 as rational numbers with denominator 6 Here we take 6 because we want five rational number ⇒ and ⇒ ⇒ (ii) -2 and -1 Sol : Let us write —2 and — 1 …

## NCERT solution class 7 chapter 8 Comparing Quantities exercise 8.3 mathematics

EXERCISE 8.3 QUESTION 1 Tell what is the prof‌it or loss in the following transactions. Also f‌ind prof‌it percent or loss percent in each case. (a) Gardening shears bought for Rs 250 and sold for Rs 325. Sol : (a) Cost price = Rs 250 Selling price = Rs 325 Prof‌it = 325 — 250 …

## Blackberry publication class 8 maths chapter Algebraic Expression exercise 10A

Exercise 10(A) QUESTION 1 Identify the constant and variables from the following : (a) 5xyz Sol : Constant : 5 Variable : xyz (b) 7 Sol : Constant : 7 Variable : No variable (c) 8y Sol : Constant : 8 Variable : y (d) 5y – 3x Sol : Constant : 5 , 3 …

## Blackberry publication class 8 maths chapter comparing quantities exercise 9D

Exercise 9(A)   Exercise 9(B)   Exercise 9(C)   Exercise 9(D) EXERCISE 9(D) Question 1 Find the compound interest on ₹ 6,500 in 3 years at 10% per annum compounded annually. Sol : Principal for the first year = ₹ 6,500 Interest for the first year = 650 ∴ Amount at the end of the first year = …

## RD sharma solution class 9 chapter 1 number system (2018)

EXERCISE 1.2   QUESTION 1 Express the following rational numbers as decimals: (i) $\dfrac{42}{100}$ Sol :   (ii) $\dfrac{327}{100}$ (iii) $\dfrac{15}{4}$

## Blackberry publication class 8 maths chapter comparing quantities exercise 9C

Exercise 9(A)   Exercise 9(B)   Exercise 9(C)   Exercise 9(D) EXERCISE 9(C) QUESTION 1 An air conditioner is tested at ₹ 15000.What is the cost of the air conditioner to the customer, if he has to pay 5% as the sale tax? Sol: Cost Price of air conditioner= ₹ 15,000 Sale tax = 5% of 15,000 …

## NCERT solution class 7 chapter 8 Comparing Quantities exercise 8.2 mathematics

EXERCISE 8.2 QUESTION 1 Convert the given fractional numbers to percent: (a) Sol : = 12.5% (b) Sol : = 5 × 25% = 125% (c) Sol : = 7.5% (d) Sol :   QUESTION 2 Convert the given decimal fractions to percents: (a) 0.65 Sol : = 65% (b) 2.1 Sol : = 210% …

## NCERT solution class 7 chapter 7 Congruence of Triangles exercise 7.2 mathematics

Exercise 7.1    Exercise 7.2 EXERCISE  7.2 QUESTION 1 Which congruence criterion do you use in the following ? (a) Given: AC = DF, AB = DE, BC = EF Sol : By SSS congruence criterion, since it is given that AC = DF, AB = DE, BC = EF The three sides of one …

## NCERT solution class 7 chapter 7 Congruence of Triangles exercise 7.1 mathematics

Exercise 7.1    Exercise 7.2 EXERCISE  7.1 QUESTION 1 Complete the following statements : 1. Two line segments are congruent if _______________. 2. Among two congruent angles, one has a measure of 70∘ , the measure of other angle is _______________. 3. When we write ∠A = ∠B, we actually mean _______________.   Sol : …

## Blackberry publication class 8 maths chapter comparing quantities exercise 9B

Exercise 9(A)   Exercise 9(B)   Exercise 9(C)   Exercise 9(D) EXERCISE 9(B) Question 1  Find the S.P. when M.P. =₹ 990 and discount = 10%. Sol : We know that Selling Price = Market Price – Discount S.P = ( 990 ) – (10% of 990 ) S.P = 990 – S.P = 990 – 99 …

## A quality solutionNCERT solution class 7 chapter 6 The Triangle and its Properties exercise 6.5 mathematics

EXERCISE 6.5 QUESTION 1 PQR is a triangle right angled at P . If PQ = 10 cm and PR = 24 cm , find QR Sol : By applying Pythagoras theorem in △PQR, (PQ)2 + (PR)2 = (RQ)2 (10)2 + (24)2 = (RQ)2 100 + 576 = (QR)2 676 = (QR)2 QR = 26 …

## NCERT solution class 7 chapter 6 The Triangle and its Properties exercise 6.4 mathematics

Exercise 6.4 QUESTION 1 Is it possible to have a triangle with the following sides? (i) 2 cm , 3 cm , 5 cm (ii) 3 cm , 6 cm , 7 cm (iii) 6 cm , 3 cm , 2 cm Sol : In a triangle, the sum of the lengths of either two …

## NCERT solution class 7 chapter 6 The Triangle and its Properties exercise 6.3 mathematics

Exercise 6.3 QUESTION 1  Find the value of the unknown x in the following diagrams : The sum of all interior angles of a triangle is 180°. By using this property, these problems can be solved as follows. (i) x + 50° + 60° = 180° x + 110° = 180° x = 180° -110° …

## Translation of chapter 1 The tiny teacher in hindi class 7 english An alien hand

The Tiny Teacher   Though so very small, the ant is unbelievably intelligent and hard-working. Among the various kinds, the commonest ant is black or red. Ants live in comfortable homes called ‘anthills’. NAME the smallest insect you have seen, and the wisest. Is it the fly? No, it isn’t. Is it the mosquito? No, …

## NCERT solution class 7 chapter 6 The Triangle and its Properties exercise 6.2 mathematics

EXERCISE  6.2 QUESTION 1 Find the value of the unknown exterior angle x in the following diagrams: (i) x = 50° + 70° (Exterior angle theorem) x = 120° (ii) x = 65° + 45° (Exterior angle theorem) x = 110° (iii) x = 40° + 30° (Exterior angle theorem) = 70° (iv) x = …

## NCERT solution class 7 chapter 6 The Triangle and its Properties exercise 6.1 mathematics

EXERCISE  6.1 QUESTION 1 In ΔPQR, D is the mid—point of (i) is ______ . (ii) PD is ______ . (iii) Is QM = MR ? Sol : (i) Altitude (ii) Median (iii) No   QUESTION 2 Draw rough sketches for the following: (a) In ∆ABC , BE is a median. Sol : (b) In …

## NCERT solution class 7 chapter 5 exercise 5.2 mathematics

Exercise 5.2 QUESTION 1 State the property that is used in each of the following statements ? (i) If a || b, then ∠1 = ∠5 Sol :  Corresponding angles property   (ii) If ∠4 = ∠6 , then a || b Sol :  Alternate interior angles property   (iii) If ∠4 + ∠5 = …

## NCERT solution class 7 chapter 5 exercise 5.1 mathematics

Exercise 5.1 QUESTION 1 Find the complement of each of the following angles: The sum of the measures of complementary angles is 90°. (i) 20° Complement = 90° – 20° = 70°   (ii) 63° Complement = 90° – 63° = 27°   (iii) 57° Complement = 90° – 57° = 33°   QUESTION 2 …

## NCERT solution class 7 chapter 4 simple equations exercise 4.1 mathematics

Exercise 4.1 QUESTION 1 Complete the last column of the table s.no Equation Value Say , whether the equation is satisfied (Yes/NO) (i) x + 3 = 0 x = 3 (ii) x + 3 = 0 x = 0 (iii) x + 3 = 0 x = -3 (iv) x – 7 = 1 …

## Sanskrit translation of chapter 6 सदाचार in hindi class 7

सदाचार ( क ) यस्मिन् देशे य आचारः पारम्पर्यक्रमागतः । वर्णानां सान्तरालानां स सदाचारः उच्सते ।।1।। अन्वयः – यस्मिन् देशे वर्णानां सान्तरालानां पारम्पर्यक्रमात् आगतः यः आचारः सः सदाचारः उच्यते । सरलार्थ – जिस देश में सभी वर्गो का तथा वर्गो के बीच आए सभी उपवर्गो का परम्परा क्रम से प्राप्त जो व्यवहार है , वह …

## NCERT Solution class 7 chapter 3 exercise 3.1

*** QuickLaTeX cannot compile formula: \frac{\cancel{2}}{\cancel{2}} *** Error message: Undefined control sequence \cancel. leading text: $\frac{\cancel{2}}{\cancel{2}} *** QuickLaTeX cannot compile formula: \bcancel{\mahsf{III}} *** Error message: Undefined control sequence \bcancel. leading text:$\bcancel Exercise 3.1 Question 1 Find the range of heights of any ten students of your class. Sol : Let the heights (in cm) of 10 students of our class be 125 , 127 …

## NCERT Solution class 7 chapter 2 exercise 2.1

Exercise 2.1 Question 1 Solve : (i) Sol : (ii) Sol : (iii) Sol : (iv) Sol : (v) Sol : (vi) Sol : (vii)  Sol :

## NCERT Solution class 7 chapter 2 exercise 2.7

Exercise 2.7 Question 1 Find: (i) Sol : (ii) Sol : = 0.07 (iii) Sol : = 0.62 (iv) Sol : = 10.9 (v) Sol : = 162.8 (vi) Sol : = 2.07 (vii) Sol :   = 0.99 (viii) Sol : =0.16   Question 2 Find: (i) Sol : 0.48 (ii) Sol : 5.25 …

## NCERT Solution class 7 chapter 2 exercise 2.6

Exercise 2.6 Question 1 Find: (i) Sol : = 1.2 (ii) Sol : = 36.8 (iii) Sol : = 13.55 (iv) Sol : = 80.4 (v) Sol : = 0.35 (vi) Sol : = 844.08 (vii) Sol : = 1.72   Question 2 Find the area of rectangle whose length is 5.7 cm and breadth …

## NCERT Solution class 7 chapter 2 exercise 2.4

Exercise 2.4 Question 1 Find : (i) Sol :  = 16   (ii) Sol :   (iii) Sol :   (iv) Sol : (v) Sol : (vi) Sol :   Question 2 Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers. (i)   (ii) …

## NCERT Solution class 7 chapter 2 exercise 2.5

Exercise 2.5 Question 1 Which is greater? (i) 0.5 or 0.05 (ii) 0.7 or 0.5 (iii) 7 or 0.7 (iv) 1.37 or 1.49 (v) 2.03 or 2.30 (vi) 0.8 or 0.88 Sol : (i) 0.5 or 0.05 Converting these decimal numbers into equivalent fractions, and It can be observed that both fractions have the same …

## Sanskrit solution chapter 4 हास्यबालकविसम्मेलनम् Class 7 translated in hindi

हास्यबालकविसम्मेलनम् (हास्य बालकवि सम्मेलन) (क) (विविध-वेशभूषाधारिण: चत्वार बालकव: मञचस्य उपरि उपविष्टा: सन्ति । अध: श्रोतार: हास्यकविताश्रवणाय उत्सुका: सन्ति कोलाहलं च कुर्वन्ति) सरलार्थ – (अनेक प्रकार की वेशभूषा को धारण किए हुए चार बाल कवि मंच पर बैठे हुए हैं । नीचे श्रोता जन हास्य कविताएँ सुनने के लिए उत्सुक हैं तथा वे शोर कर रहे …

## Rd sharma solution Chapter 5 Algebra of matrices

EXERCISE 5.3 1.Compute the indicated products: (i) ​$$\begin{bmatrix}~~~a&b\\-b&a\end{bmatrix}\begin{bmatrix}a&-b\\b&a\end{bmatrix}$$​ (ii) ​$$\begin{bmatrix}1&-2\\2&~~~3\end{bmatrix}\begin{bmatrix}~~~1&2&~~~3\\-3&2&-1\end{bmatrix}$$​ (iii)$$\begin{bmatrix}2&3&4\\3&4&5\\4&5&6\end{bmatrix}\begin{bmatrix}1&-3&5\\0&~~~2&4\\3&~~~0&5\end{bmatrix}$$ 2. Show that AB​$$\not=$$​BA in each of the following cases: (i) A=​$$\begin{bmatrix}5&-1\\6&~~~7\end{bmatrix}$$​ and  B=​$$\begin{bmatrix}2&1\\3&4\end{bmatrix}$$​ (ii) A=​$$\begin{bmatrix}-1&~~~1&0\\~~~0&-1&1\\~~~2&~~~3&4\end{bmatrix}$$​ and B=​$$\begin{bmatrix}1&2&3\\0&1&0\\1&1&0\end{bmatrix}$$​ (iii) A=​$$\begin{bmatrix}1&3&0\\1&1&0\\4&1&0\end{bmatrix}$$​ and  B=​$$\begin{bmatrix}0&1&0\\1&0&0\\0&5&1\end{bmatrix}$$​ 3.Compare the products AB …

## Rd sharma solution Chapter 5 Algebra of matrices

EXERCISE 5.2 Question 1 1.Compute the following sums: (i)   (ii)     Question 2 Let ​, ​ and ​​ . Find each of the following: (i)2A-3B (ii)B-4C (iii)3A-C (iv)3A-2B+3C     Question 3 If ​, , ,find : (i)A+B and B+C (ii)2B+3A and 3C-4B     Question 4 Let , and . Compute 2A-3B+4C. …

## RD sharma class solution 11 chapter 1 Set

Exercise 2.1 Question 1 (i) If find the values of and Sol : By the definition of equality of ordered pairs, we have: and and and b = 1   (ii) If find the values of x and y Sol : By the definition of equality of ordered pairs, we have: and  x = 2 …

## NCERT solution class 9 chapter Surface area and volume

Exercise 13.1 Question 1 A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine: (i) The area of the sheet required for making the box. (ii) The cost of sheet for it, if …

## 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 …

## NCERT solution class 10 chapter 2 polynomials

Exercise 2.1 Question 1 The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case. (i)   Sol : (i) The number of zeroes is 0 as the graph does not cut the x-axis at any point.   (ii)   Sol …

## NCERT solution class 10 chapter 1 Real numbers

Exercise 1.1    Exercise 1.2   Exercise 1.3   Exercise 1.4 Exercise 1.4 Question 1 Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: (i) Sol : The denominator is in the form of Hence, the decimal expansion of is terminating. …

## NCERT solution class 10 chapter 1 Real numbers

Exercise 1.1    Exercise 1.2   Exercise 1.3   Exercise 1.4 Exercise 1.3 Question 1 Prove that is irrational . Sol : Let is a rational number. Therefore, we can find two integers a , b such that Let a and b have a common factor other than 1 . Then we can divide them by the …

## NCERT solution class 10 chapter 1 Real numbers

Exercise 1.1    Exercise 1.2   Exercise 1.3   Exercise 1.4 Exercise 1.2 Question 1 Express each number as product of its prime factors: (i) 140 Sol :   (ii) 156 Sol :   (iii) 3825 Sol :   (iv) 5005 Sol :   (v) 7429 Sol :   Question 2 Find the LCM and HCF of …

## 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 …

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## NCERT solution class 10 chapter 1 Real numbers

Exercise 1.1    Exercise 1.2   Exercise 1.3   Exercise 1.4 Exercise 1.1 Question 1 Use Euclid’s division algorithm to find the HCF of: (i) 135 and 225 Sol : (i) 135 and 225 Since 225 > 135, we apply the division lemma to 225 and 135 to obtain 225 = 135 × 1 + 90 …

## 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 …

## NCERT solution class 8 chapter 16 Playing with numbers

Exercise 16.1   Exercise 16.2 Exercise 16.2 Question 1 If 21y5 is a multiple of 9, where y is a digit, what is the value of y? Sol : If a number is a multiple of 9, then the sum of its digits will be divisible by 9. Sum of digits of 21y5 = 2 + …

## NCERT solution class 8 chapter 16 Playing with numbers

Exercise 16.1   Exercise 16.2 Exercise 16.1 Question 1 Find the values of the letters in the following and give reasons for the steps involved. Sol : The addition of A and 5 is giving 2 i.e., a number whose ones digit is 2. This is possible only when digit A is 7. In that case, …

## NCERT solution class 8 chapter 15 Introduction to Graphs

Exercise 15.1   Exercise 15.2   Exercise 15.3 Exercise 15.3 Question 1  Draw the graphs for the following tables of values, with suitable scales on the axes. (a) Cost of apples Number of apples 1 2 3 4 5 Cost (in Rs) 5 10 15 20 25 (b) Distance travelled by a car Time (in hours) 6 …

## NCERT solution class 8 chapter 15 Introduction to Graphs

Exercise 15.1   Exercise 15.2   Exercise 15.3 Exercise 15.2 Question 1  Plot the following points on a graph sheet. Verify if they lie on a line (a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5) (b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4) (c) K(2, 3), L(5, 3), M(5, 5), N(2, 5) Sol : (a) …

## NCERT solution class 8 chapter 15 Introduction to Graphs

Exercise 15.1   Exercise 15.2   Exercise 15.3 Exercise 15.1 Question 1  The following graph shows the temperature of a patient in a hospital, recorded every hour. (a) What was the patient’s temperature at 1 p.m.? (b) When was the patient’s temperature 38.5°C? (c) The patient’s temperature was the same two times during the period given. What …

## NCERT solution class 8 chapter 14 Factorisation

Exercise 14.1   Exercise 14.2   Exercise 14.3   Exercise 14.4 Exercise 14.4 Question 1  Find and correct the errors in the statement: 4(x − 5) = 4x − 5 Sol : L.H.S. = 4(x − 5) = 4 × x − 4 × 5 = 4x − 20 ≠ R.H.S. The correct statement is 4(x − 5) …

## NCERT solution class 8 chapter 14 Factorisation

Exercise 14.1   Exercise 14.2   Exercise 14.3   Exercise 14.4 Exercise 14.3 Question 1  Carry out the following divisions. (i) 28×4 ÷ 56x (ii) −36y3 ÷ 9y2 (iii) 66pq2r3 ÷ 11qr2 (iv) 34x3y3z3 ÷ 51xy2z3 (v) 12a8b8 ÷ (−6a6b4) Sol : (i) 28×4 = 2 × 2 × 7 × x × x × x × x …

## NCERT solution class 8 chapter 14 Factorisation

Exercise 14.1   Exercise 14.2   Exercise 14.3   Exercise 14.4 Exercise 14.2 Question 1  Factorise the following expressions. (i) a2 + 8a + 16 (ii) p2 − 10p + 25 (iii) 25m2 + 30m + 9 (iv) 49y2 + 84yz + 36z2 (v) 4×2 − 8x + 4 (vi) 121b2 − 88bc + 16c2 (vii) (l + …

## NCERT solution class 8 chapter 14 Factorisation

Exercise 14.1   Exercise 14.2   Exercise 14.3   Exercise 14.4 Exercise 14.1 Question 1  Find the common factors of the terms (i) 12x, 36 (ii) 2y, 22xy (iii) 14pq, 28p2q2 (iv) 2x, 3×2, 4 (v) 6abc, 24ab2, 12a2b (vi) 16×3, −4×2, 32x (vii) 10pq, 20qr, 30rp (viii) 3x2y3, 10x3y2, 6x2y2z Sol : (i) 12x = 2 × …

## NCERT solution class 8 chapter 13 Direct and Inverse proportions

Exercise 13.1   Exercise 13.2 Exercise 13.2 Question 1  Which of the following are in inverse proportion? (i) The number of workers on a job and the time to complete the job. (ii) The time taken for a journey and the distance travelled in a uniform speed. (iii) Area of cultivated land and the crop harvested. …

## NCERT solution class 8 chapter 13 Direct and Inverse proportions

Exercise 13.1   Exercise 13.2 Exercise 13.1 Question 1  Following are the car parking charges near a railway station up to 4 hours Rs 60 8 hours Rs 100 12 hours Rs 140 24 hours Rs 180 Check if the parking charges are in direct proportion to the parking time. Sol : A table of the …

## NCERT solution class 8 chapter 12 Exponents and Power

Exercise 12.1   Exercise 12.2 Exercise 12.2 Question 1 Express the following numbers in standard form. (i) 0.0000000000085 (ii) 0.00000000000942 (iii) 6020000000000000 (iv) 0.00000000837 (v) 31860000000 Sol : (i) 0.0000000000085 = 8.5 × 10−12 (ii) 0.00000000000942 = 9.42 × 10−12 (iii) 6020000000000000 = 6.02 × 1015 (iv) 0.00000000837 = 8.37 × 10−9 (v) 31860000000 = 3.186 …

## NCERT solution class 8 chapter 12 Exponents and Power

Exercise 12.1   Exercise 12.2 Exercise 12.1 Question 1 Evaluate (i) 3−2 (ii) (−4)−2 (iii) Sol : (i) (ii) (iii)     Question 2 Simplify and express the result in power notation with positive exponent. (i) (ii) (iii) (iv) (v) Sol : (i) (−4)5 ÷ (−4)8 = (−4)5 − 8 (am ÷ an = am − …

## NCERT solution class 8 chapter 11 Mensuration

Exercise 11.1   Exercise 11.2   Exercise 11.3   Exercise 11.4 Exercise 11.4 Question 1 Given a cylindrical tank, in which situation will you find surface area and in which situation volume. (a) To find how much it can hold (b) Number of cement bags required to plaster it (c) To find the number of smaller tanks that …

## NCERT solution class 8 chapter 11 Mensuration

Exercise 11.1   Exercise 11.2   Exercise 11.3   Exercise 11.4 Exercise 11.3 Question 1 There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make? Sol : We know that, Total surface area of the cuboid = 2 (lh + bh + lb) Total surface area of …

## NCERT solution class 8 chapter 11 Mensuration

Exercise 11.1   Exercise 11.2   Exercise 11.3   Exercise 11.4 Exercise 11.2 Question 1 The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m. E Sol : Area of trapezium = (Sum of parallel …

## NCERT solution class 8 chapter 11 Mensuration

Exercise 11.1   Exercise 11.2   Exercise 11.3   Exercise 11.4 Exercise 11.1 Question 1 A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Sol : Perimeter of square = 4 (Side of the square) = 4 (60 m) = 240 m Perimeter of …

## NCERT solution class 8 chapter 10 Visualising Solid Shapes

Exercise 10.1  Exercise 10.2  Exercise 10.3 Exercise 10.3 Question 1 Can a polyhedron have for its faces (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles? Sol : (i) No, such a polyhedron is not possible. A polyhedron has minimum 4 faces. (ii) Yes, a triangular pyramid has 4 triangular faces. (iii) Yes, a …

## NCERT solution class 8 chapter 10 Visualising Solid Shapes

Exercise 10.1  Exercise 10.2  Exercise 10.3 Exercise 10.2 Question 1 Look at the given map of a city. Answer the following. (a) Colour the map as follows: Blue − water plant, red − fire station, orange − library, yellow − schools, green − park, pink − college, purple − hospital, brown − cemetery. (b) Mark a green …

## NCERT solution class 8 chapter 10 Visualising Solid Shapes

Exercise 10.1  Exercise 10.2  Exercise 10.3 Exercise 10.1 Question 1 For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. Sol : The given solids, matched to their respective side view and top view, are as follows. Object Side view Top view   Question 2 For …

## NCERT solution class 8 chapter 9 Algebraic Expression and Identities

Exercise 9.1  Exercise 9.2  Exercise 9.3  Exercise 9.4  Exercise 9.5 Exercise 9.4 Question 1 Multiply the binomials. (i) (2x + 5) and (4x − 3) (ii) (y − 8) and (3y − 4) (iii) (2.5l − 0.5m) and (2.5l + 0.5m) (iv) (a + 3b) and (x + 5) (v) (2pq + 3q2) and (3pq − 2q2) (vi) …

## NCERT solution class 8 chapter 9 Algebraic Expression and Identities

Exercise 9.1  Exercise 9.2  Exercise 9.3  Exercise 9.4  Exercise 9.5 Exercise 9.5 Question 1 Use a suitable identity to get each of the following products. (i) (x + 3) (x + 3) (ii) (2y + 5) (2y + 5) (iii) (2a ­− 7) (2a − 7) (iv) (v) (1.1m − 0.4) (1.1 m + 0.4) (vi) (a2 + …

## NCERT solution class 8 chapter 9 Algebraic Expression and Identities

Exercise 9.1  Exercise 9.2  Exercise 9.3  Exercise 9.4  Exercise 9.5 Exercise 9.3 Question 1 Carry out the multiplication of the expressions in each of the following pairs. (i) 4p, q + r (ii) ab, a − b (iii) a + b, 7a2b2 (iv) a2 − 9, 4a (v) pq + qr + rp, 0   Sol : (i) …

## NCERT solution class 8 chapter 9 Algebraic Expression and Identities

Exercise 9.1  Exercise 9.2  Exercise 9.3  Exercise 9.4  Exercise 9.5 Exercise 9.2 Question 1 Find the product of the following pairs of monomials. (i) 4, 7p (ii) − 4p, 7p (iii) − 4p, 7pq (iv) 4p3, − 3p (v) 4p, 0 Sol : The product will be as follows. (i) 4 × 7p = 4 × 7 × …

## NCERT solution class 8 chapter 9 Algebraic Expression and Identities

Exercise 9.1  Exercise 9.2  Exercise 9.3  Exercise 9.4  Exercise 9.5 Exercise 9.1 Question 1 Identify the terms, their coefficients for each of the following expressions. (i) 5xyz2 − 3zy (ii) 1 + x + x2 (iii) 4x2y2 − 4x2y2z2 + z2 (iv) 3 − pq + qr − rp (v) (vi) 0.3a − 0.6ab + 0.5b   Sol …

## NCERT solution class 8 chapter 8 Comparing quantities

Exercise 8.1  Exercise 8.2  Exercise 8.3 Exercise 8.3 Question 1 Calculate the amount and compound interest on (a) Rs 10800 for 3 years at per annum compounded annually. Sol : (a) Principal (P) = Rs 10, 800 Rate (R) = = % (annual) Number of years (n) = 3 Amount, A = C.I. = A …

## NCERT solution class 8 chapter 8 Comparing quantities

Exercise 8.1  Exercise 8.2  Exercise 8.3 Exercise 8.2 Question 1 A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary. Sol : Let the original salary be x. It is given that the new salary is Rs 1,54,000. Original salary + Increment = New salary …

## NCERT solution class 8 chapter 8 Comparing quantities

Exercise 8.1  Exercise 8.2  Exercise 8.3 Exercise 8.1 Question 1 Find the ratio of the following: (a) Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. (b) 5 m to 10 km (c) 50 paise to Rs 5   Sol : (a) Ratio of the speed of …

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## NCERT solution class 8 chapter 7 Cube and Cube roots

Exercise 7.1  Exercise 7.2 Exercise 7.2 Question 1 Find the cube root of each of the following numbers by prime factorization method. (i) 64 Sol : (i) Prime factorization of ∴   (ii) 512 Sol : (ii) Prime factorization of ∴   (iii) 10648 Sol : (iii) Prime factorization of ∴   (iv) 27000 Sol …

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## NCERT solution class 8 chapter 7 Cube and Cube roots

Exercise 7.1  Exercise 7.2 Exercise 7.1 Question 1 Which of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656 Sol : (i) The prime factorization of 216 is as follows. 2 216 2 108 2 54 3 27 3 9 3 3 1 216 = 2 × …

## NCERT Solutions for class 8 Maths chapter 6 Square and square roots

Exercise 6.1  Exercise 6.2  Exercise 6.3  Exercise 6.4 Exercise 6.3 Question 1 What could be the possible ‘one’s’ digits of the square root of each of the following numbers? (i) 9801 (ii) 99856 (iii) 998001 (iv) 657666025 Sol : (i) If the number ends with 1, then the one’s digit of the square root of …

## NCERT Solutions for class 8 Maths chapter 6 Square and square roots

Exercise 6.1  Exercise 6.2  Exercise 6.3  Exercise 6.4 Exercise 6.4 Question 1 Find the square root of each of the following numbers by division method. (i) 2304 Sol : (i) The square root of 2304 can be calculated as follows. 48 4 88 704 704 0 ∴   (ii) 4489 Sol : (ii) The square …

## NCERT Solutions for class 8 Maths chapter 6 Square and square roots

Exercise 6.1  Exercise 6.2  Exercise 6.3  Exercise 6.4 Exercise 6.1 Question 1 What will be the unit digit of the squares of the following numbers? (i) 81 (ii) 272 (iii) 799 (iv) 3853 (v) 1234 (vi) 26387 (vii) 52698 (viii) 99880 (ix) 12796 (x) 55555 Sol : We know that if a number has its …

## NCERT Solutions for class 8 Maths chapter 6 Square and square roots

Exercise 6.1  Exercise 6.2  Exercise 6.3  Exercise 6.4 Exercise 6.2 Question 1 Find the square of the following numbers (i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46 Sol : (i) 322 = (30 + 2)2 = 30 (30 + 2) + 2 (30 + 2) = 302 + 30 × 2 …

## NCERT Solutions for class 8 Maths chapter 5 Data handling

Exercise 5.1    Exercise 5.2   Exercise 5.3 Exercise 5.3 Question 1 List the outcomes you can see in these experiments. (a) Spinning a wheel (b) Tossing two coins together Sol : (a) On spinning the given wheel, the possible outcomes are A, B, C, D. (b) By tossing two coins together, the possible outcomes are …

## NCERT Solutions for class 8 Maths chapter 5 Data handling

Exercise 5.1    Exercise 5.2   Exercise 5.3 Exercise 5.2   Question 1 A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey. From this pie chart answer the following − (i) If 20 people liked …

## NCERT Solutions for class 8 Maths chapter 5 Data handling

Exercise 5.1    Exercise 5.2   Exercise 5.3 Exercise 5.1 Question 1 For which of these would you use a histogram to show the data? (a) The number of letters for different areas in a postman’s bag. (b) The height of competitors in an athletics meet. (c) The number of cassettes produced by 5 companies. (d) …

## 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 …

## NCERT Solutions for class 8 Maths chapter 4 Practical geometry

Exercise 4.1  Exercise 4.2  Exercise 4.3  Exercise 4.4  Exercise 4.5 Exercise 4.5 Question 1 Draw the following: The square READ with RE = 5.1 cm Sol : All the sides of a square are of the same measure and also all the interior angles of a square are of 90º measure. Therefore, the given square …

## NCERT Solutions for class 8 Maths chapter 4 Practical geometry

Exercise 4.1  Exercise 4.2  Exercise 4.3  Exercise 4.4  Exercise 4.5 Exercise 4.4 Question 1 Construct the following quadrilaterals, (i) Quadrilateral DEAR DE = 4 cm EA = 5 cm AR = 4.5 cm ∠E = 60° ∠A = 90° Sol : (Step-1)A rough sketch of this quadrilateral can be drawn as follows. (Step-2) Draw a …

## NCERT Solutions for class 8 Maths chapter 4 Practical geometry

Exercise 4.1  Exercise 4.2  Exercise 4.3  Exercise 4.4  Exercise 4.5 Exercise 4.3 Question 1 Construct the following quadrilaterals. (i) Quadrilateral MORE MO = 6 cm OR = 4.5 cm ∠M = 60° ∠O = 105° ∠R = 105° Sol : (Step-1)A rough sketch of this quadrilateral can be drawn as follows. (Step-2) Draw a line …

## NCERT Solutions for class 8 Maths chapter 4 Practical geometry

Exercise 4.1  Exercise 4.2  Exercise 4.3  Exercise 4.4  Exercise 4.5 Exercise 4.2 Question 1 Construct the following quadrilaterals. (i) Quadrilateral LIFT LI = 4 cm IF = 3 cm TL = 2.5 cm LF = 4.5 cm IT = 4 cm Sol : A rough sketch of this quadrilateral can be drawn as follows. (Step-1) …

## NCERT Solutions for class 8 Maths chapter 4 Practical geometry

Exercise 4.1  Exercise 4.2  Exercise 4.3  Exercise 4.4  Exercise 4.5 Exercise 4.1 Question 1 Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm Sol : Firstly, a rough sketch of this quadrilateral can be drawn as follows. …

## NCERT Solutions for class 8 Maths chapter 3 Understanding Quadrilaterals

Exercise 3.1  Exercise 3.2  Exercise 3.3  Exercise 3.4 Exercise 3.4 Question 1 State whether True or False. (a) All rectangles are squares. (b) All rhombuses are parallelograms. (c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are …

## NCERT Solutions for class 8 Maths chapter 3 Understanding Quadrilaterals

Exercise 3.1  Exercise 3.2  Exercise 3.3  Exercise 3.4 Exercise 3.3 Question 1 Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = … (ii) ∠DCB = … (iii) OC = … (iv) m∠DAB + m∠CDA = …   Sol : (i) In a parallelogram, opposite sides are equal …

## NCERT Solutions for class 8 Maths chapter 3 Understanding Quadrilaterals

Exercise 3.1  Exercise 3.2  Exercise 3.3  Exercise 3.4 Exercise 3.2 Question 1 Find x in the following figures. (a) Sol : We know that the sum of all exterior angles of any polygon is 360º. (a) 125° + 125° + x = 360° 250° + x = 360° x = 110° (b) Sol : We …

## NCERT Solutions for class 8 Maths chapter 3 Understanding Quadrilaterals

Exercise 3.1  Exercise 3.2  Exercise 3.3  Exercise 3.4 Exercise 3.1 Question 1 Given here are some figures. (1) (2) (3) (4) (5) (6) (7) (8) Classify each of them on the basis of the following. (a) Simple curve (b) Simple closed curve (c) Polygon (d) Convex polygon (e) Concave polygon Sol : (a) 1, 2, …

## 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. …

## NCERT Solutions for class 8 Maths chapter 2 Linear Equation In One Variable

Exercise 2.1  Exercise 2.2  Exercise 2.3  Exercise 2.4  Exercise 2.5  Exercise 2.6 Exercise 2.6 Question 1 : Solve : ​$$\dfrac{8x-3}{3x}=2$$​ Sol :  ​$$\dfrac{8x-3}{3x}=2$$​ On multiplying both sides by 3x , we obtain 8x -3 = 6x 8x – 6x = 3 2x = 3 ​$$x=\dfrac{3}{2}$$​   Question 2 : Solve : ​$$\dfrac{9x}{7-6x}=15$$​ Sol : …

## Elon Musk’s Boring Company set to unveil its first Los Angeles-area tunnel

Elon Musk’s Boring Company set to unveil its first Los Angeles-area tunnel   The tunnel, an initial proof-of-concept, has been excavated along a path that runs not through Los Angeles but beneath the tiny adjacent municipality of Hawthorne, where Musk’s Boring Company and his SpaceX rocket firm are both headquartered. The Boring Company announced plans …

## Light : Reflection and Refraction

Light : is a form of energy which enables us to see objects from which it comes (or from which it reflects.) Luminous objects : Those objects which gives out their own light are called luminous objects. examples are sun , candle, Lamp etc Non-Luminous objects :  Those objects which are unable to gives out …

## NCERT Solutions for class 8 Maths chapter 2 Linear Equation In One Variable

Exercise 2.1  Exercise 2.2  Exercise 2.3  Exercise 2.4  Exercise 2.5  Exercise 2.6 EXERCISE 2.2 Question 1 : If you subtract ​$$\dfrac{1}{2}$$​ from a number and multiply the result by ​$$\dfrac{1}{2}$$​ , you get ​$$\dfrac{1}{8}$$​. What is the number ? sol : Let the number be x . According to the question ,  ​$$\bigg(x-\dfrac{1}{2}\bigg)\times\dfrac{1}{2}=\dfrac{1}{8}$$​ On multiplying …

## NCERT Solutions for class 8 Maths chapter 2 Linear Equation In One Variable

Exercise 2.1  Exercise 2.2  Exercise 2.3  Exercise 2.4  Exercise 2.5  Exercise 2.6 EXERCISE 2.3 Question 1 : Solve and check result : 3x = 2x + 18 Sol : 3x = 2x + 18 On transposing 2x to L.H.S , we obtain 3x – 2x = 18 x = 18 L.H.S ​\begin{align*}&=3x\\&=3\times{}18\\&=54\end{align*}​ R.H.S ​\begin{align*}&=2x+18\\&=2\times{18}+18\\&=36+18\\&=54\end{align*}​ L.H.S = R.H.S Hence, …

## NCERT Solutions for class 8 Maths chapter 2 Linear Equation In One Variable

Exercise 2.1  Exercise 2.2  Exercise 2.3  Exercise 2.4  Exercise 2.5  Exercise 2.6 EXERCISE 2.1 Question 1 : Solve : x – 2=7 sol : x – 2=7 On transposing 2 to R.H.S , we obtain  x = 7 + 2 x = 9   Question 2 : Solve : y+3=10 sol :  y+3=10 On transposing 3 to R.H.S , we …

## NCERT Solution for class 8 chapter 1 RATIONAL NUMBER

Exercise 1.1 Exercise 1.2 EXERCISE 1.2 Question 1 :  Represent these numbers on the number line. (i)  Sol: can be represented on the number line as follows.   (ii) Sol : can be represented on the number line as follows.   Question 2 :  Represent on the number line. can be represented on the number …

## NCERT Solution for class 8 chapter 1 RATIONAL NUMBER

Exercise 1.1 Exercise 1.2 EXERCISE 1.1   Question 1 Using appropriate properties find . (i) sol : = 2   (ii) sol :   Question 2 : Write the additive inverse of each of the following : (i)  sol : Additive inverse= (ii) sol : Additive inverse= (iii) sol : Additive inverse= (iv) sol : …

## WORK AND ENERGY

WORK AND ENERGY Whenever a force makes a body move , then work is said to be done or work is done when force produces motion. And for doing work energy is required. Work done by a force on a body depends on the two factors : (i) Magnitude of the force. (ii) Distance through …

## PERIODIC CLASSIFICATION OF ELEMENTS

PERIODIC CLASSIFICATION OF ELEMENTS Firstly what is element , an element is a substance containing atoms of only one type e.g Na , Au , Ca , etc . Up till now there are around 118 elements are found . Which is such a large amount and is not possible to learn about each and every …

## 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 :

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## Hydrocarbons

HYDROCARBONS Organic compound are composed of only carbons and hydrogen are called hydrocarbons. ON THE BASIS OF STRUCTURE HYDROCARBONS ARE OF TWO TYPES  1. Acyclic or open chain hydrocarbons 2. Cyclic or closed chain hydrocarbons   Acyclic or open chain hydrocarbons These hydrocarbons contains open chains of carbon atoms in their molecules. These hydrocarbons are …

## Carbon And Its Compound

COAL AND PETROLEUM Firstly what is fuel ,fuel is a material that consist of energy stored in it. Most of the fuel are free carbons (coal , coke ,charcoal) or just carbon compounds (kerosene , LPG , petrol). When carbon in any form is burned in oxygen (of air) and forms carbon-di-oxide also releases heat …

## WORK, ENERGY AND POWER

WORK, ENERGY AND POWER In your daily life you have seen many things like person pushing heavy box , a teacher teaching students , mom cooking food , all are said to be working . And the person who have capacity to do heavy work is said to be having high stamina or energy. In …

## REDOX REACTIONS

REDOX REACTIONS Chemical reaction in which electron transfer from one chemical substance to another are termed as oxidation-reduction reactions or redox reactions. You can see many examples from your daily life like production of electricity in batteries , production of heat by burning chemical substances , electroplating , manufacturing of useful products caustic soda, potassium …

## Thermodynamics

Thermodynamics The word “thermodynamics” is derived from Greek words therme (heat) and dinamics (flow or motion) . Thermodynamics mainly deals with the transformation of heat into mechanical energy and vice versa .   LIMITATIONS OF THERMODYNAMICS (i) It does not give any direct information about the nature or structure of matter. (ii) It does not give …

## straight line

Straight line EXERCISE 23.1 1. Find the slopes of the lines which make the following angles with the positive direction of x-axis : (i) ​$$-\dfrac{\pi}{4}$$​ sol: m=tan​$$\theta$$​ =tan(​$$-\dfrac{\pi}{4}$$​)  = -1 (ii) ​$$\dfrac{2\pi}{3}$$​ sol: m=tan​$$\theta$$​ =tan(​$$\dfrac{2\pi}{3}$$​)  = tan(​$$\pi-\dfrac{\pi}{3}$$​)  = ​$$-\sqrt{3}$$​ (iii) ​$$\dfrac{3\pi}{4}$$​ …

## Sanskrit solution chapter 1 सुभाषितानि Class 7 translated in hindi

सुभाषितानि (क) पृथिव्यां त्रीणि रत्नानि जलमत्रं सुभाषितम् । मूढै: पाषाणखण्डेषु रत्नसंज्ञा विधीयती  ।। 1 ।। सरलार्थ: पृथ्वी पर केवल तीन ही रत्न है। जल, अन्न और मधुर वचन। बुद्धिमान व्यक्ति इनकी समझ रखते है परन्तु मूर्ख लोग पत्थर के टुकड़ों को ही रत्न समझते है। शब्द अर्थ पृथिव्यां पृथ्वी में त्रीणि तीन रत्नानि रत्न जलमन्नं …

## Chapter Some Basic Concepts of Chemistry

SOME BASIC CONCEPT OF CHEMISTRY Classification of matter on the basis of chemical properties: Matter classified into two groups pure substances and mixtures.Pure substances further divided into elements and compounds. 1. Elements : it is a simple individual which has a defined atomic number and has a definite position in periodic table. All the elements …

## Chapter DOS (DISK OPERATING SYSTEM)

DOS (DISK OPERATING SYSTEM) DOS is the most popular example of single user operating system. DOS stands for Disk Operating System. Disk operating system is a ready-made program which provide various computer handling facilities through its appropriate commands. BOOTING The loading procedure of operating system into computer’s main memory or RAM to make a user …

## Chapter Software at a glance

SOFTWARE AT A GLANCE As you know, software is a collection of programs and a program is a set of instructions written in a programming language.Using software, user , user interacts with the computer. It controls and governs the operation of a computer system. Software can typically be classified into three categories : 1. System …

## Chapter Secondary memory

SECONDARY MEMORY As you read in previous lesson that computer have Primary memory or internal memory. Now, let us see the secondary memory.Secondary memory is also called External memory of a computer. We use secondary memory devices to store data and information permanently. There are many types of secondary devices available. Some of secondary memory …

## Chapter Primary memory

PRIMARY MEMORY Memory unit of a computer holds (store) all data, instructions and processed data.Memory unit of computer is classified in following two categories: 1. Primary Memory (we study it in this chapter) 2. Secondary Memory (we will study in the next chapter) Primary memory or main memory is known as computer’s own memory or …

## Chapter Output devices

OUTPUT DEVICES The main function of an output device id to convert the binary information inside computer in numbers and words so as to be easily understood by the user.Whatever we input the data, it is processed and comes in front of us in special format which is called output.To showing this output there are …

## Chapter Input devices

INPUT DEVICES   Input devices is a device through which we feed data into the computer.When data are entered in the form of digits, alphabets and other special character, input devices converts it into their respective codes to be used by computer.There are many input devices which can be used for inputing data with different …

## Chapter Computer and its components

COMPUTERS AND ITS COMPONENTS   COMPUTER-MORE THAN A CALCULATING DEVICE Computer is not mere a calculating device.It is a machine that can perform both arithmetic and non-arithmetic operations like copy, move select, compare etc.It works on alphabets, represents symbols and ideas as per the requirements of the user. You can say, a computer is a …

## Chapter CHARACTERISTICS OF COMPUTER

CHARACTERISTICS OF COMPUTER Computer have become necessary thing of our lives.Computers are being used almost every field.You can see computers everywhere in banks, schools, railways, airports, laboratories , hospitals shops etc. There are some amazing characteristics of computer like its speed, storage, capacity, accuracy.These characteristics have bothered people to shift to computer working from manual …

## Chapter CLASSIFICATION BY SIZE AND PERFORMANCE

CLASSIFICATION BY SIZE AND PERFORMANCE According to the purpose-wise Digital computer can be classified in to two categories: Special purpose computer Special purpose computers is designed in a way that it could perform special task.Programs permanently stored at the time of manufacturing for the particular job in special purpose computer. General purpose computer Such type …

## Chapter CLASSIFICATION OF COMPUTERS BY TYPES

CLASSIFICATION OF COMPUTERS BY TYPES The computer have been classified into three categories according to their types. 1. Analog Computers 2. Digital Computers 3. Hybrid Computers ANALOG COMPUTERS ‘Analog’ is basically a Greek Word, which means ‘similar’.Analog Computer works on the principle of measurement.So,analog computers are based on the similarities between any two quantities.These two …

## chapter HISTORICAL EVOLUTION OF COMPUTER

HISTORICAL EVOLUTION OF COMPUTER The ascent of computer is very old.It took long duration to mature.Ancient people used stone,bones,beads etc for calculation and to keep record but as a civilization developed, people felt the need for calculating devices.The earliest and the simplest device that was used for calculation was the Abacus. THE ABACUS Abacus was …

## Blackberry publication class 8 maths chapter comparing quantities

Exercise 9(A)   Exercise 9(B)   Exercise 9(C)   Exercise 9(D) COMPARING QUANTITIES EXERCISE 9(A) QUESTION 1 Express each of the following ratios in the simplest form: (a) 3 kg 500 g : 4 kg 250 g Sol : As we know that , 1 kg = 1000 g so , 3 kg 500 g can be …

## Chapter classification of elements and periodicity in properties

CLASSIFICATION OF ELEMENTS AND PERIODICITY IN  PROPERTIES Brief Historical Development Of Periodic Table 1.Johann Dobereiner’s (Law of triads) In between 1815 and 1829 he gave law of triads.According to which group of three elements which posses similar chemical properties, then the central element mass is equal to the arithmetic mean of atomic masses of the …

## Blackberry publication class 8 maths chapter rational number

RATIONAL NUMBERS EXERCISE 2(A) 1.Using properties find: (a) Sol : using property Take L.C.M of  14 and 56 is 56 2 14 , 56 2 4 , 28 2 2, 14 7 1, 7 1, 1 Take L.C.M of 7 and 8 is 56 2 7 , 8 2 7 , 4 2 7 , …

## Blackberry publications class 8 maths cube and cube root

CUBE AND CUBE ROOTS   EXERCISE 8(A) 1.Find the cubes of : (a) 2.4 (b) 0.2.5 (c) 40 (d) 51 (e) 1.4 (f) 0.09 (g) ​$$3\dfrac{7}{4}$$​ (h) ​$$\dfrac{6}{7}$$​ (i) ​$$2\dfrac{18}{11}$$​ (j) ​$$1\dfrac{6}{17}$$​ 2.Which of the following are perfect cubes ? (a) 200 (b) 9261 (c) 64 (d) 4095 (e) 864 3.Which …

## Blackberry publications class 8 maths Square and Square roots

SQUARES AND SQUARE ROOTS   EXERCISE 7(A)   1.Write the unit’s digits of the following numbers: (a)93 (b)72 (c)546 (d)931 2.Without actual squaring find the value of: (a)​$$22^2-21^2$$​ (b)​$$685^2-684^2$$​ (c)​$$108^2-107^2$$​ 3.Which of the following numbers are the squares of odd numbers ? (a)9 (b)225 (c)1089 (d)7395 4.Which of the …

## 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, …

## Chapter Kinematics

KINEMATICS The branch of physics which deals with the study of the objects at rest and in motion is called mechanics. It is further divided into two parts are: 1.Statics Statics is the branch of mechanics which deals with the study of objects at rest. An object can be at rest only when all the …

## Chapter Unit and measurement

UNIT AND MEASUREMENT Units of measurement are vital parts of any physical quantity. Just as the person is known by his or her name, the physical quantities are known by the units of measurement. System of unit There are four categories of system of unit. 1.C.G.S : In the CGS system of measurement length is …

## S.chand books class 8 maths solution chapter Profit,Loss and Discount

PROFIT,LOSS AND DISCOUNT EXERCISE 8 (A) QUESTION 1 A peon purchased a chair for ₹ 700, spent ₹ 170 on its repair and ₹ 30 on the cartage.If he sold the chair for ₹ 1080, what is his gain percent ? Sol : Cost price of chair = 700 + 170 + 30 = 900 …

## S.chand books class 8 maths solution chapter playing with numbers

PLAYING WITH NUMBERS EXERCISE 5 (A) QUESTION 1 The sum of the digits of a 2 digit number is 9.The numbers is 6 times the unit digit.Find the number. Sol : The sum of two digit number is 9. Where u is unit digit and t is ten’s place digit . t + u = …

## S.chand books class 8 maths solution chapter cube and cube roots

CUBE AND CUBE ROOTS EXERCISE 4 (A)   1.Write (T) for True or (F) for false: (i) The cube root of 8000 is 200. (ii) Each prime factor appears 3 times in its cube. (iii) ​$$\sqrt[3]{27+64}=\sqrt[3]{27}+\sqrt[3]{64}$$​ (iv) For an integer a, ​$$a^3$$​ is always greater than ​$$a^2$$​. (v) The least number by …

## Blue ray books class 8 maths solution chapter cube and cube roots

CUBE AND CUBE ROOTS   EXERCISE (A) 1.Find the cube of : (a) 2.4 (b) 0.25 (c) 40 (d) 51 (e) 1.4 (f) 0.09 (g) ​$$3\dfrac{4}{5}$$​ (h) ​$$\dfrac{6}{7}$$​ (i) ​$$2\dfrac{8}{11}$$​ (j) $$1\dfrac{6}{17}$$​ 2.Which of the following are perfect cubes ? (a) 200 (b) 9261 (c) 64 (d) 4095 (e) 864 3.Which …

## Blue ray books class 8 maths solution chapter square and square root

Square and Square root EXERCISE (A)   1.Write the unit’s digits of the squares of the following numbers. (a) 93 (b) 72 (c) 546 (d) 931 2.Without actual squaring find the value of: (a) ​$$22^2-21^2$$​ (b)$$685^2-684^2$$ (c) $$108^2-107^2$$ 3.Which of the following numbers are the squares of odd numbers. (a) 9 (b) 225 (c) 1089 (d) 7395 4.Which of …

## Class 6 s.chand maths number system

NUMBER SYSTEM Exercise 2 (A) 1.Write down the successor of each of the following numbers : (i) 3008 (ii) 501300708 2.Write down the predecessor of each of the following numbers : (i) 84 (ii) 5000 (iii) 3007000 (iv) 506080301 3.How many whole numbers are there between 31 and 517 ? 4.Write the next three consecutive natural numbers : (i) 98 (ii) 835 …

## S.chand books solution class 6

Exercise 1 (A) 1.Which of the following collection are sets ? If not a set , give reasons. (a) Planets in our solar system. (b) Interesting books in the library. (c) Colours of the Rainbow. (d) All difficult problems in your maths book. (e) Top five wicket takers in test cricket. (f) Intelligent boys of …

## C Tokens

C Tokens C Tokens are the basic building block of C language which are constructed together to write a program. Tokens in c language are of seven types: Delimiter Keywords Constants Identifiers Special symbols Operators 1.Delimiters A delimiter is a unique character or a sequence of characters which signify beginning or ending of a specific …

## C language

Introduction to C language   C language is a programming language. Programming language is just like any another natural language(like English) that we used to share informations and for communication. Natural language is bidirectional but programming language is not. Programming language is used to give instructions(commands) to computer or any other devices. Why their is …

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