Category Archives: NCERT

MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers

Free PDF Download of CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry Multiple Choice Questions with Answers. MCQ Questions for Class 10 Maths with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Maths Introduction to Trigonometry MCQs with Answers to know their preparation level.

Class 10 Maths MCQs Chapter 8 Introduction to Trigonometry

1. The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is
(a) 1
(b) -1
(c) 0
(d) (frac{1}{sqrt{2}})

Answer

Answer: c


2. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to
(a) √3
(b) (frac{1}{2})
(c) (frac{1}{sqrt{2}})
(d) 1

Answer

Answer: d


3. If x and y are complementary angles, then
(a) sin x = sin y
(b) tan x = tan y
(c) cos x = cos y
(d) sec x = cosec y

Answer

Answer: d


4. sin 2B = 2 sin B is true when B is equal to
(a) 90°
(b) 60°
(c) 30°
(d) 0°

Answer

Answer: d


5. If A, B and C are interior angles of a ΔABC then (cos left(frac{mathrm{B}+mathrm{C}}{2}right)) is equal to
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 1

Answer

Answer: a


6. If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to
(a) 0
(b) (frac{1}{sqrt{3}})
(c) 1
(d) √3

Answer

Answer: c


7. If y sin 45° cos 45° = tan2 45° – cos2 30°, then y = …
(a) –(frac{1}{2})
(b) (frac{1}{2})
(c) -2
(d) 2

Answer

Answer: b


8. If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..
(a) -1
(b) 0
(c) 1
(d) 2

Answer

Answer: c


9. 5 tan² A – 5 sec² A + 1 is equal to
(a) 6
(6) -5
(c) 1
(d) -4

Answer

Answer: d


10. If sec A + tan A = x, then sec A =
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 2

Answer

Answer: d


11. If sec A + tan A = x, then tan A =
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 3

Answer

Answer: b


MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 4

Answer

Answer: b


13. If x = a cos 0 and y = b sin 0, then b2x2 + a2y2 =
(a) ab
(b) b² + a²
(c) a²b²
(d) a4b4

Answer

Answer: c


14. What is the maximum value of (frac{1}{csc A})?
(a) 0
(b) 1
(c) (frac{1}{2})
(d) 2

Answer

Answer: b


15. What is the minimum value of sin A, 0 ≤ A ≤ 90°
(a) -1
(b) 0
(c) 1
(d) (frac{1}{2})

Answer

Answer: b


16. What is the minimum value of cos θ, 0 ≤ θ ≤ 90°
(a) -1
(b) 0
(c) 1
(d) (frac{1}{2})

Answer

Answer: b


17. Given that sin θ = (frac{a}{b}) , then tan θ =
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 5

Answer

Answer: c


18. If cos 9A = sin A and 9A < 90°, then the value of tan 5A is
(a) 0
(b) 1
(c) (frac{1}{sqrt{3}})
(d) √3

Answer

Answer: b


19. If in ΔABC, ∠C = 90°, then sin (A + B) =
(a) 0
(b) 1/2
(c) (frac{1}{sqrt{2}})
(d) 1

Answer

Answer: d


20. If sin A – cos A = 0, then the value of sin4 A + cos4 A is
(a) 2
(b) 1
(c) (frac{3}{4})
(d) (frac{1}{2})

Answer

Answer: d


We hope the given MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers will help you. If you have any query regarding CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry Multiple Choice Questions with Answers, drop a comment below and we will get back to you at the earliest.

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Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13

Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13

Extra Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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Extra Questions for Class 10 Maths

NCERT Solutions for Class 10 Maths

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Quadratic Equations Class 10 Extra Questions Maths Chapter 4

Quadratic Equations Class 10 Extra Questions Maths Chapter 4

Extra Questions for Class 10 Maths Chapter 4 Quadratic Equations. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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You can also download Class 10 Maths to help you to revise complete syllabus and score more marks in your examinations.

Quadratic Equations CBSE Class 10 Extra Questions Q2:
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Extra Questions for Class 10 Maths

NCERT Solutions for Class 10 Maths

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NCERT Solutions For Class 10 Maths Chapter 1 Real Numbers Ex 1.1

Get Free NCERT Solutions for Class 10 Maths Chapter 1 PDF.  Real Numbers Class 10 Maths NCERT Solutions are extremely helpful while doing homework. Ex 1.1 Chapter 1 Class 10 Maths NCERT Solutions were prepared by Experienced Teachers. Detailed answers of all the questions in Chapter 1 maths class 10 Real Numbers Exercise 1.1 provided in NCERT Textbook.

Topics and Sub Topics in Class 10 Maths Chapter 1 Real Numbers:

Section Name Topic Name
1 Real Numbers
1.1 Introduction
1.2 Euclid’s Division Lemma
1.3 The Fundamental Theorem of Arithmetic
1.4 Revisiting Irrational Numbers
1.5 Revisiting Rational Numbers and Their Decimal Expansions
1.6 Summary

NCERT Solutions For Class 10 Maths Chapter 1 Real Numbers Ex 1.1

NCERT Solutions for Class 10 Maths Chapter 6 Triangles Ex 1.1 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 1.1

Board CBSE
Textbook NCERT
Class Class 10
Subject Maths
Chapter Chapter 1
Chapter Name Real Numbers
Exercise Ex 1.1
Number of Questions Solved 5
Category NCERT Solutions

Ex 1.1 Class 10 Maths Question 1.
Use Euclid’s Division Algorithm to find the HCF of:
(i) 135 and 225
(ii) 196 and 38220
(iii) 867 and 255
Solution:
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1 Q1 -ii

Ex 1.1 Class 10 Maths Question 2.
Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.
Solution
exercise 1.1 class 10 maths ncert solutions

Ex 1.1 Class 10 Maths Question 3.
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?
Solution:
real numbers class 10

Ex 1.1 Class 10 Maths Question 4.
Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.
Solution:
ex 1.1 class 10 maths ncert solutions

Ex 1.1 Class 10 Maths Question 5.
Use Euclid’s Division Lemma to show that the cube of any positive integer is either of the form 9m, 9m + 1 or 9m + 8.
Solution:
Real Numbers Class 10 Maths NCERT Solutions Ex 1.1 Q5

You can also download the free PDF of Class 10 Real Numbers NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation.

Real Numbers Class 10 Maths NCERT Solutions PDF Download

Class 10 Maths Real Numbers

Rational numbers and irrational numbers are taken together form the set of real numbers. The set of real numbers is denoted by R. Thus every real number is either a rational number or an irrational number. In either case, it has a non–terminating decimal representation. In the case of rational numbers, the decimal representation is repeating (including repeating zeroes) and if the decimal representation is non–repeating, it is an irrational number. For every real number, there corresponds a unique point on the number line ‘l’ or we may say that every point on the line ‘l’ corresponds to a real number (rational or irrational).

From the above discussion we may conclude that:
To every real number there corresponds a unique point on the number line and conversely, to every point on the number line there corresponds a real number. Thus we see that there is one–to–one correspondence between the real numbers and points on the number line ‘l’, that is why the number line is called the ‘real number line’.

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) Ex 1.1

NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.1
NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.1 in english medium
NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.1 in PDF
NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.1 in Hindi Medium
Class 10 maths chapter 1 real numbers in Hindi medium solutions
Class 10 maths chapter 1 real numbers in Hindi medium PDF
Class 10 maths chapter 1 real numbers in Hindi medium study online

Real Numbers Class 10 Maths Objectives

The students will be able to ;
prove Euclid’s Division Lemma
state fundamental theorem of arithmetic
find HCF and LCM using prime factorization
establish the given number as an irrational number
conclude the decimal expansion of a rational number is either terminating or non-terminating repeating.

Chapter 1 Class 10 Maths Real Numbers Summary

We have studied the following points:
1. Euclid’s Division Lemma: Given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r where 0 = r = b.
2. Euclid’s Division Algorithm: According to this, which is based on Euclid’s division lemma, the HCF of any two positive integers a and b with a > b is obtained as follows:
Step 1 Apply the division lemma to find q and r where a = bq + r, O = r < b.
Step 2 If r = 0, the HCF is b . If r? 0 apply Euclid Lemma to b and r
Step 3 Continue the process until the remainder is zero. The divisor at this stage will be HCF (a, b). Also HCF (a, b) = HCF (b, r)
3. The Fundamental Theorem of Arithmetic: Every composite number can be expressed (factorized) as a product of primes and this factorization is unique, apart from the order in which the prime factors occur.

We hope the NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.1, help you. If you have any query regarding Maths NCERT Solutions Chapter 1 Real Numbers Exercise 1.1, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4

Get Free NCERT Solutions for Class 10 Maths Chapter 1 Ex 1.4 PDF.  Real Numbers Class 10 Maths NCERT Solutions are extremely helpful while doing homework.  Exercise 1.3 Class 10 Maths NCERT Solutions were prepared by Experienced Teachers. Detailed answers of all the questions in Chapter 1 maths class 10 Real Numbers Exercise 1.4 provided in NCERT TextBook.

Topics and Sub Topics in Class 10 Maths Chapter 1 Real Numbers:

Section Name Topic Name
1 Real Numbers
1.1 Introduction
1.2 Euclid’s Division Lemma
1.3 The Fundamental Theorem of Arithmetic
1.4 Revisiting Irrational Numbers
1.5 Revisiting Rational Numbers and Their Decimal Expansions
1.6 Summary

You can also download the free PDF of  Ex 1.4 Class 10 Real Numbers NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation.

Board CBSE
Textbook NCERT
Class Class 10
Subject Maths
Chapter Chapter 1
Chapter Name Real Numbers
Exercise Ex 1.4
Number of Questions Solved 3
Category NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4 are part of NCERT Solutions for Class 10 Maths. Here we have given Maths NCERT Solutions Class 10 Chapter 1 Real Numbers Exercise 1.4

Ex 1.4 Class 10 Maths Question 1.
Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or non-terminating repeating decimal expansion:
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4 Q1
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4 Q1

Ex 1.4 Class 10 Maths Question 2.
Write down the decimal expansions of those rational numbers in question 1, which have terminating decimal expansions.

Ex 1.4 Class 10 Maths Question 3.
The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational and of the form (frac { p }{ q }), what can you say about the prime factors of q?
(i) 43. 123456789
(ii) 0.120120012000120000…
(iii) 43. (overline { 123456789 })

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers (Hindi Medium) Ex 1.4

NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.4
NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.4 in English medium
Class 10 maths chapter 1 ex. 1.4 in english
Class 10 maths chapter 1 exercise 1.4 vastvik sankhyaen hindi me download
NCERT Solutions for class 10 Maths Chapter 1 Exercise 1.4 in Hindi medium
Class 10 maths chapter 1 exercise 1.4 in hindi medium
Class 10 maths chapter 1 exercise 1.4 in hindi PDF

Real Numbers Class 10 Maths NCERT Solutions PDF Download

We hope the NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4, help you. If you have any query regarding Maths NCERT Solutions Chapter 1 Real Numbers Exercise 1.4, drop a comment below and we will get back to you at the earliest.

Areas Related to Circles Class 10 Extra Questions Maths Chapter 12

Areas Related to Circles Class 10 Extra Questions Maths Chapter 12

Extra Questions for Class 10 Maths Chapter 12 Areas Related to Circles. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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You can also download NCERT Maths Class 10 to help you to revise complete syllabus and score more marks in your examinations.

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Extra Questions for Class 10 Maths

NCERT Solutions for Class 10 Maths

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Probability Class 10 Extra Questions Maths Chapter 15

Probability Class 10 Extra Questions Maths Chapter 15

Extra Questions for Class 10 Maths Chapter 15 Probability. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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You can also download NCERT Solutions For Class 10 Maths to help you to revise complete syllabus and score more marks in your examinations.
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Extra Questions for Class 10 Maths

NCERT Solutions for Class 10 Maths

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MCQ Questions for Class 10 Maths Polynomials with Answers

Free PDF Download of CBSE Class 10 Maths Chapter 2 Polynomials Multiple Choice Questions with Answers. MCQ Questions for Class 10 Maths with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Maths Polynomials MCQs with Answers to know their preparation level.

Class 10 Maths MCQs Chapter 2 Polynomials

1. If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is
(a) 10
(b) -10
(c) 5
(d) -5

Answer

Answer: b


2. Given that two of the zeroes of the cubic poly-nomial ax3 + bx² + cx + d are 0, the third zero is
MCQ Questions for Class 10 Maths Polynomials with Solutions 1

Answer

Answer: a


3. If one of the zeroes of the quadratic polynomial (k – 1) x² + kx + 1 is – 3, then the value of k is
MCQ Questions for Class 10 Maths Polynomials with Solutions 2

Answer

Answer: a


4. A quadratic polynomial, whose zeroes are -3 and 4, is
(a) x²- x + 12
(b) x² + x + 12
(c) (frac{x^{2}}{2}-frac{x}{2}-6)
(d) 2x² + 2x – 24

Answer

Answer: c


5. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and -3, then
(a) a = -7, b = -1
(b) a = 5, b = -1
(c) a = 2, b = -6
(d) a – 0, b = -6

Answer

Answer: d


6. The number of polynomials having zeroes as -2 and 5 is
(a) 1
(b) 2
(c) 3
(d) more than 3

Answer

Answer: d


7. Given that one of the zeroes of the cubic polynomial ax3 + bx² + cx + d is zero, the product of the other two zeroes is
MCQ Questions for Class 10 Maths Polynomials with Solutions 3

Answer

Answer: b


8. If one of the zeroes of the cubic polynomial x3 + ax² + bx + c is -1, then the product of the
other two zeroes is
(a) b – a + 1
(b) b – a – 1
(c) a – b + 1
(d) a – b – 1

Answer

Answer: a


9. The zeroes of the quadratic polynomial x2 + 99x + 127 are
(a) both positive
(b) both negative
(c) one positive and one negative
(d) both equal

Answer

Answer: b


10. The zeroes of the quadratic polynomial x² + kx + k, k? 0,
(a) cannot both be positive
(b) cannot both be negative
(c) are always unequal
(d) are always equal

Answer

Answer: a


11. If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then
(a) c and a have opposite signs
(b) c and b have opposite signs
(c) c and a have the same sign
(d) c and b have the same sign

Answer

Answer: c


12. If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it
(a) has no linear term and the constant term is negative.
(b) has no linear term and the constant term is positive.
(c) can have a linear term but the constant term is negative.
(d) can have a linear term but the constant term is positive.

Answer

Answer: a


13. Which of the following is not the graph of quadratic polynomial?
MCQ Questions for Class 10 Maths Polynomials with Solutions 4

Answer

Answer: d


14. The number of polynomials having zeroes as 4 and 7 is
(a) 2
(b) 3
(c) 4
(d) more than 4

Answer

Answer: d


15. A quadratic polynomial, whose zeores are -4 and -5, is
(a) x²-9x + 20
(b) x² + 9x + 20
(c) x²-9x- 20
(d) x² + 9x- 20

Answer

Answer: b


16. The zeroes of the quadratic polynomial x² + 1750x + 175000 are
(a) both negative
(b) one positive and one negative
(c) both positive
(d) both equal

Answer

Answer: a


17. The zeroes of the quadratic polynomial x² – 15x + 50 are
(a) both negative
(b) one positive and one negative
(c) both positive
(d) both equal

Answer

Answer: c


18. The zeroes of the quadratic polynomial 3x² – 48 are
(a) both negative
(b) one positive and one negative
(c) both positive
(d) both equal

Answer

Answer: b


19. The zeroes of the quadratic polynomial x² – 18x + 81 are
(a) both negative
(b) one positive and one negative
(c) both positive and unequal
(d) both equal and positive

Answer

Answer: d


20. The zeroes of the quadratic polynomial x² + px + p, p ≠ 0 are
(a) both equal
(b) both cannot be positive
(c) both unequal
(d) both cannot be negative

Answer

Answer: b


21. If one of the zeroes of the quadratic polynomial (p – l)x² + px + 1 is -3, then the value of p isMCQ Questions for Class 10 Maths Polynomials with Solutions 5

Answer

Answer: b


22. If the zeroes of the quadratic polynomial Ax² + Bx + C, C # 0 are equal, then
(a) A and B have the same sign
(b) A and C have the same sign
(c) B and C have the same sign
(d) A and C have opposite signs

Answer

Answer: b


23. If x3 + 1 is divided by x² + 5, then the possible degree of quotient is
(a) 0
(b) 1
(c) 2
(d) 3

Answer

Answer: b


24. If x3 + 11 is divided by x² – 3, then the possible degree of remainder is
(a) 0
(b) 1
(c) 2
(d) less than 2

Answer

Answer: d


25. If x4 + 3x² + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are:
(a) 3, 0
(b) 4, 1
(c) 3, 1
(d) 4, 0

Answer

Answer: a


26. If x5 + 2x4 + x + 6 is divided by g(x), and quotient is x² + 5x + 7, then the possible degree of g(x) is:
(a) 4
(b) 2
(c) 3
(d) 5

Answer

Answer: c


27. If x5 + 2x4 + x + 6 is divided by g(x) and quo-tient is x² + 5x + 7, then the possible degree of remainder is:
(a) less than 1
(b) less than 2
(c) less than 3
(d) less than 4

Answer

Answer: c


28. What is the number of zeroes that a linear poly-nomial has/have:
(a) 0
(b) 1
(c) 2
(d) 3

Answer

Answer: b


29. What is the number(s) of zeroes that a quadratic polynomial has/have:
(a) 0
(b) 1
(c) 2
(d) 3

Answer

Answer: c


30. What is the number(s) of zeores that a cubic polynomial has/have:
(a) 0
(b) 1
(c) 2
(d) 3

Answer

Answer: d


31. If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is
(a) p + q + 1
(b) p-q- 1
(c) q – p + 1
(d) q – p – 1

Answer

Answer: c


32. If one zero of the quadratic polynomial x² + 3x + b is 2, then the value of b is
(a) 10
(b) -8
(c) 9
(d) -10

Answer

Answer: d


33. If 1 is one of the zeroes of the polynomial x² + x + k, then the value of k is:
(a) 2
(b) -2
(c) 4
(d) -4

Answer

Answer: b


We hope the given MCQ Questions for Class 10 Maths Polynomials with Answers will help you. If you have any query regarding CBSE Class 10 Maths Chapter 2 Polynomials Multiple Choice Questions with Answers, drop a comment below and we will get back to you at the earliest.

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NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2

Get Free NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.2 PDF. Pair of Linear Equations in Two Variables Class 10 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 3.2 Class 10 Maths NCERT Solutions were prepared by Experienced Teachers. Detailed answers of all the questions in Chapter 3 Maths Class 10 Pair of Linear Equations in Two Variables Exercise 3.2 provided in NCERT TextBook.

Topics and Sub Topics in Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables:

Section Name Topic Name
3 Pair of Linear Equations in Two Variables
3.1 Introduction
3.2 Pair Of Linear Equations In Two Variables
3.3 Graphical Method Of Solution Of A Pair Of Linear Equations
3.4 Algebraic Methods Of Solving A Pair Of Linear Equations
3.4.1 Substitution Method
3.4.2 Elimination Method
3.4.3 Cross-Multiplication Method
3.5 Equations Reducible To A Pair Of Linear Equations In Two Variables
3.6 Summary

You can also download the free PDF of  Ex 3.2 Class 10 Pair of Linear Equations in Two Variables NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation.

Board CBSE
Textbook NCERT
Class Class 10
Subject Maths
Chapter Chapter 3
Chapter Name Pair of Linear Equations in Two Variables
Exercise Ex 3.2
Number of Questions Solved 7
Category NCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2

NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.2

Ex 3.2 Class 10 Maths Question 1.
 Form the pair of linear equations of the following problems and find their solutions graphically:
(i) 10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
(ii) 5 pencils and 7 pens together cost ₹50, whereas 7 pencils and 5 pens together cost ₹46. Find the cost of one pencil and that of one pen.
Solution:
NCERT Solutions for Class 10 Maths Chapter 3 Pdf Pair Of Linear Equations In Two Variables Ex 3.2 Q1
NCERT Solutions for Class 10 Maths Chapter 3 Pdf Pair Of Linear Equations In Two Variables Ex 3.2 Q1.1
NCERT Solutions for Class 10 Maths Chapter 3 Pdf Pair Of Linear Equations In Two Variables Ex 3.2 Q1.2

Worksheets for Class 10 Maths

Ex 3.2 Class 10 Maths Question 2.
On comparing the ratios (frac { { a }_{ 1 } }{ { a }_{ 2 } }), (frac { { b }_{ 1 } }{ { b }_{ 2 } })
and (frac { { c }_{ 1 } }{ { c }_{ 2 } }) , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident:
(i) 5x – 4y + 8 = 0, 7x + 6y – 9 = 0
(ii) 9x + 3y + 12 = 0, 18x + 6y + 24 = 0
(iii) 6x – 3y + 10 = 0, 2x -y + 9 = 0
Solution:
Pair Of Linear Equations In Two Variables Class 10 Maths NCERT Solutions Ex 3.2 Q2
Pair Of Linear Equations In Two Variables Class 10 Maths NCERT Solutions Ex 3.2 Q2.1

Ex 3.2 Class 10 Maths Question 3.
On comparing the ratios (frac { { a }_{ 1 } }{ { a }_{ 2 } }), (frac { { b }_{ 1 } }{ { b }_{ 2 } })
and (frac { { c }_{ 1 } }{ { c }_{ 2 } }), find out whether the following pairs of linear equations are consistent, or inconsistent:
~
Solution:
Exercise 3.2 Class 10 Maths NCERT Solutions Pair Of Linear Equations In Two Variables Q3
Exercise 3.2 Class 10 Maths NCERT Solutions Pair Of Linear Equations In Two Variables Q3.1

Ex 3.2 Class 10 Maths Question 4.
Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically.
(i) x + y = 5, 2x + 2y = 10
(ii) x-y – 8, 3x – 3y = 16
(iii) 2x + y – 6 = 0, 4x – 2y – 4 = 0
(iv) 2x – 2y – 2 = 0, 4x – 4y – 5 = 0
Solution:
Ex 3.2 Class 10 Maths NCERT Solutions Pair Of Linear Equations In Two Variables Q4
Ex 3.2 Class 10 Maths NCERT Solutions Pair Of Linear Equations In Two Variables Q4.1
Ex 3.2 Class 10 Maths NCERT Solutions Pair Of Linear Equations In Two Variables Q4.2
Ex 3.2 Class 10 Maths NCERT Solutions Pair Of Linear Equations In Two Variables Q4.3
Ex 3.2 Class 10 Maths NCERT Solutions Pair Of Linear Equations In Two Variables Q4.4

 

Ex 3.2 Class 10 Maths Question 5.
Half the perimeter of a rectangular garden, whose length is 4 m more than its width is 36 m. Find the dimensions of the garden graphically.
Solution:
Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables NCERT Solutions Ex 3.2 Q5
Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables NCERT Solutions Ex 3.2 Q5.1

Ex 3.2 Class 10 Maths Question 6.
Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:
(i) intersecting lines
(ii) parallel lines
(iii) coincident lines
Solution:
Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables NCERT Solutions Ex 3.2 Q6
Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables NCERT Solutions Ex 3.2 Q6.1
Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables NCERT Solutions Ex 3.2 Q6.2

Ex 3.2 Class 10 Maths Question 7.
Draw the, graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
Solution:
Chapter 3 Maths Class 10 Pair Of Linear Equations In Two Variables NCERT Solutions Ex 3.2 Q7
Chapter 3 Maths Class 10 Pair Of Linear Equations In Two Variables NCERT Solutions Ex 3.2 Q7.1

NCERT Solutions for Class 10 Maths Chapter 3 Pairs of Linear Equations in Two Variables (Hindi Medium) Ex 3.2

NCERT Solutions for class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.2 in Hindi Medium
NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 in english
NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 English medium
NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 PDF
Class 10 Maths chapter 3 exercise 3.2 in English medium
Class 10 Maths chapter 3 exercise 3.2 in English
NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 in Hindi
NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 in Hindi Medium
Class 10 MAths chapter 3 exercise 3.2
Class 10 MAths chapter 3 exercise 3.2 in hindi medium
Class 10 MAths chapter 3 exercise 3.2 in Hindi PDF
Class 10 maths chapter 3 exercise 3.2 in Hindi medium download in PDF
ncert solutions for class 10 maths chapter 3 exercise 3.2

ncert solutions for class 10 maths chapter 3 exercise 3.2 in hindi medium
Class 10 Maths chapter 3 exercise 3.2 in English medium PDF
NCERT Solutions class 10 maths chapter 3 exercise 3.2 in Hindi
NCERT Solutions class 10 maths chapter 3 exercise 3.2 in Hindi medium PDF
class 10 maths solutions chapter 3 exercise 3.2 in Hindi
NCERT Solutions for class 10 Maths Chapter 3 Exercise 3.2 in Hindi Medium
Class 10 maths chapter 3 exercise 3.2 in Hindi medium
Class 10 maths chapter 3 exercise 3.2 in Hindi medium download in PDF

We hope the NCERT Solutions for Class 10 Maths Chapter Pair of Linear Equations in Two Variables Ex 3.2, help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.2, drop a comment below and we will get back to you at the earliest.

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