Complex numbers Exercise 13.1 QUESTION 1 Evaluate the following: (i) Sol : (ii) Sol : =1 (iii) Sol : = -1 (iv) Sol : (v) Sol : = 0[…]

# Tag: CBSE

## Sanskrit translation of chapter 15 प्रहेलिका in hindi class 8

प्रहेलिका पाठ का परिचय पहेलियाँ मनोरंजन का एक प्राचीन विद्या (तरीका) है। ये लगभग संसार की सभी भाषाओं में उपलब्ध् हैं। संस्कृत के कवियों ने इस परम्परा को अत्यन्त समृद्ध किया है। पहेलियाँ हमें आनन्द[…]

## Sanskrit translation of chapter 13 हिमालयः in hindi class 8

हिमालयः पाठ का परिचय यह पाठ महाकवि कालिदास द्वारा लिखित ‘कुमार सम्भव’ नामक महाकाव्य के प्रथम सर्ग से लिया गया है। इन पद्यों में हिमालय की प्राकृतिक सुषमा का वर्णन किया गया है। (क)[…]

## Sanskrit translation of chapter 12 कः रक्षति कः रक्षितः in hindi class 8

कः रक्षति कः रक्षितः पाठ का परिचय यह पाठ पर्यावरण पर केन्द्रित है। प्लास्टिक पर्यावरण के लिए घातक है, लेकिन इसका हमारे जीवन में इस सीमा तक प्रवेश हो चुका है कि इसके बिना दैनिक[…]

## Sanskrit translation of chapter 11 सावित्री बाई फुले in hindi class 8

सावित्री बाई फुले पाठ का परिचय शिक्षा हमारा अधिकार है। हमारे समाज के कई समुदायों को, जो लम्बे समय तक इससे वंचित रहे, इस अधिकार को पाने के लिए लम्बा संघर्ष करना पड़ा। इसकी प्राप्ति[…]

## Sanskrit translation of chapter 10 अशोक वनिका in hindi class 8

अशोक वनिका पाठ का परिचय यह पाठ आदि कवि वाल्मीकिकृत रामायण के सुन्दरकाण्ड के पन्द्रहवें सर्ग से लिया गया है। हनुमान जी सीता जी की खोज में जब लंका में प्रवेश करते हैं तो वहाँ[…]

## Sanskrit translation of chapter 9 सप्तभगिन्यः in hindi

सप्तभगिन्यः पाठ का परिचय सप्तभगिनी-यह एक उपनाम है। उत्तर-पूर्व के सात राज्य विशेष को उक्त उपाधि दी गई है। इन राज्यों का प्राकृतिक सौन्दर्य अत्यन्त विलक्षण है। इनकी सांस्कृतिक और सामाजिक विशेषता को ध्यान में[…]

## Sanskrit translation of chapter 8 संसारसागरस्य नायकाः in hindi

संसारसागरस्य नायकाः पाठ का परिचय यह पाठ अनुपम मिश्रा द्वारा लिखित ‘आज भी खरे हैं तालाब’ में संकलित ‘संसार सागर के नायक’ नामक अध्याय से लिया गया है। लेखक ने यहाँ पानी के लिए मानव निर्मित[…]

## Sanskrit translation of chapter 6 प्रेमलस्य प्रेमल्याश्च कथा in hindi class 8

प्रेमलस्य प्रेमल्याश्च कथा पाठ का परिचय प्रस्तुत कहानी शिक्षाविद् गिजु भाई (1885-1939) की रचना ‘पेमला पेमली की कहानी’ का अनुवाद है। इस कहानी में एक महिला घरेलू कामों को पूरा करने की अपनी पारम्परिक भूमिका[…]

## Sanskrit translation of chapter 7 जलवाहिनी in hindi class 8

जलवाहिनी पाठ का परिचय यह गीत भोजपुरी लोकगीत का अनुवाद है। इसमें गाँव की पानी भरने वाली स्त्राी का चित्राण किया गया है। कुएँ से घड़े में जल भरकर लाते समय उसके मन में आने[…]

## Sanskrit translation of chapter 5 धर्मे धमनं पापे पुण्यम in hindi class 8

धर्मे धमनं पापे पुण्यम पाठ का परिचय यह कथा पंचतंत्र की शैली में लिखी गई है। यह लोककथा मध्यप्रदेश के डिण्डोरी जिले में परधानों के बीच प्रचलित है। इस कथा में बताया गया है कि[…]

## Sanskrit translation of chapter 4 सदैव पुरतो निधेहि चरणम in hindi class 8

सदैव पुरतो निधेहि चरणम पाठ का परिचय श्रीधरभास्कर वर्णेकर ने अपने इस गीत में चुनौतियों को स्वीकार करते हुए आगे बढ़ने का आह्नान किया है। श्रीधर राष्ट्रवादी कवि हैं जिन्होंने इस गीत के द्वारा जागरण[…]

## 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 […]

## NCERT solution class 10 chapter 2 polynomials

Exercise 2.2 (working) Question 1 Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) Sol : or or Therefore , the zeroes of are 4[…]

## 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[…]

## 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[…]

## 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[…]

## 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[…]

## 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 =[…]

## 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[…]

## 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 : […]

## 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[…]

## 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[…]

## 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)[…]

## 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[…]

## 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[…]

## 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[…]

## 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[…]

## 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)[…]

## 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)[…]

## 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) =[…]

## 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[…]

## 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)[…]

## 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[…]

## 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[…]

## 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[…]

## 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)[…]

## 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[…]

## 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 :[…]

## 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[…]

## 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?[…]

## 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[…]

## 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 −[…]

## 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[…]

## 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[…]

## 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 +[…]

## 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)[…]

## 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 −[…]

## 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[…]

## 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)[…]

## 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[…]

## 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[…]

## 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[…]

## 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[…]

## 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[…]

## 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[…]

## 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 =[…]

## 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°[…]

## 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 =[…]

## 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.[…]

## 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[…]

## 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 2.5 Question 1 : Solve the linear equation \( \dfrac{x}{2}-\dfrac{1}{5}=\dfrac{x}{3}+\dfrac{1}{4} \) Sol : \( \dfrac{x}{2}-\dfrac{1}{5}=\dfrac{x}{3}+\dfrac{1}{4} \) L.C.M of the denominators 2, 3, 4, and 5 is 60[…]

## 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 2.4 Question 1: Amina thinks a number and subtracts \( \dfrac{5}{2} \) from it . She multiplies the result by 8. The result now obtained is 3 times[…]

## 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[…]

## 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 ,[…]

## 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=9 Question 2 : Solve : y+3=10 sol[…]

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

Chapter-दुर्बुद्धि: विनश्यति Chapter-सुभाषितानि सुभाषितानि 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[…]