MCQ Questions | Class 10 Maths Chapter 3 | Pair of Linear Equations in Two Variables with Answers

MCQ | Pair of Linear Equations in Two Variables Class 10 | Sat B

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Pair of Linear Equations in Two Variables Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	10th
Subject:	Maths
Chapter:	3
Chapters Name:	Pair of Linear Equations in Two Variables
Medium:	English

Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Pair of Linear Equations in Two Variables | Class 10 Maths | NCERT Solutions

Q1.	The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is
	A. 6
	B. 0
	C. 2
	D. 5

Ans: 6

Q2.	The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k – 1 has infinitely many solutions is
	A. 2
	B. 3
	C. 4
	D. 5

Ans: 2

Q3.	The value of k for which the equations (3k + l)x + 3y = 2; (k2 + l)x + (k – 2)y = 5 has no solution, then k is equal to
	A. 2
	B. 3
	C. 1
	D. -1

Ans: -1

Q4.	The pair of equations x = a and y = b graphically represents lines which are
	A. parallel
	B. intersecting at (b, a)
	C. coincident
	D. intersecting at (a, b)

Ans: intersecting at (a, b)

Q5.	Asha has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively
	A. 35 and 15
	B. 15 and 35
	C. 35 and 20
	D. 25 and 25

Ans: 25 and 25

Q6.	If a pair of linear equations is consistent, then the lines will be
	A. always coincident
	B. parallel
	C. always intersecting
	D. intersecting or coincident

Ans: intersecting or coincident

Q7.	If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively
	A. 6, -1
	B. 2, 3
	C. 1, 4
	D. 19/5, 6/5

Ans: 19/5, 6/5

Q8.	The pair of equations 3x + 4y = k, 9x + 12y = 6 has infinitely many solutions if –
	A. k = 2
	B. k = 6
	C. k = 6
	D. k = 3

Ans: k = 2

Q9.	Find the value of ‘a” for which the system of equations ax + 2y – 4 = 0 and x – y – 3 = 0 will represent intersecting lines?
	A. a ≠ -2
	B. a = -2
	C. a = 2
	D. a ≠ 2

Ans: a ≠ -2

Q10.	Which of the following pair of linear equations is inconsistent?
	A. 2x + 3y = 7; 4x + 6y = 5
	B. x – 2y = 6; 2x + 3y = 4
	C. 9x – 8y = 17; 18x -16y = 34
	D. 5x – 3y =11; 7x + 2y =13

Ans: 2x + 3y = 7; 4x + 6y = 5

Q11.	If the pair of equation has no solution, then the pair of equation is :
	A. inconsistent
	B. coincident
	C. consistent
	D. none of these

Ans: inconsistent

Q12.	The graph of y = 4x is a line
	A. parallel to x-axis
	B. parallel to y-axis
	C. perpendicular to y-axis
	D. passing through the origin

Ans: passing through the origin

Q13.	If am bl then the system of equations ax + by = c, lx + my = n, has
	A. a unique solution
	B. no solution
	C. infinitely many solutions
	D. none of these

Ans: a unique solution

Q14.	8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work.
	A. 120, 130
	B. 140,280
	C. 240,280
	D. 100,120

Ans: 140,280

Q15.	The graph of the equation 2x + 3y = 5 is a
	A. vertical line
	B. straight line
	C. horizontal line
	D. none of these

Ans: straight line

Q16.	The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages of the son and the father are, respectively
	A. 4 and 24
	B. 5 and 30
	C. 6 and 36
	D. 3 and 24

Ans: 6 and 36

Q17.	The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is
	A. 27
	B. 72
	C. 45
	D. 36

Ans: 36

Q18.	The pair of equations y = 0 and v = -7 has
	A. one solution
	B. two solutions
	C. infinitely many solutions
	D. no solution

Ans: no solution
Explaination: (4) No solution (parallel lines)

Q19.	The pair of equations x = a and y = b graphically represents lines which are
	A. parallel
	B. intersecting at (b, a)
	C. coincident
	D. intersecting at (a, b)

Ans: intersecting at (a, b)

Q20.	The pair of equations x = 4 and y = 3 graphically represents lines which are
	A. parallel
	B. intersecting at (3, 4)
	C. coincident
	D. intersecting at (4, 3)

Ans: intersecting at (4, 3)

Explaination:

When lines x = 4, y = 3 will intersect, then x coordinate = 4, y-coordinate = 3

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

MCQ Questions | Class 10 Maths Chapter 3

MCQ Questions | Class 10 Maths Chapter 3 | Pair of Linear Equations in Two Variables with Answers

MCQ | Pair of Linear Equations in Two Variables Class 10 | Sat B

Objective Question | NCERT Maths Class 10

Ncert Solutions for Class 10 Maths | Objective Type Questions

Pair of Linear Equations in Two Variables | Class 10 Maths | NCERT Solutions

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

Ncert Solutions for Class 10 Maths Chapter 1

Ncert Solutions for Class 10 Maths Chapter 2

Ncert Solutions for Class 10 Maths Chapter 3

Ncert Solutions for Class 10 Maths Chapter 4

Ncert Solutions for Class 10 Maths Chapter 5

Ncert Solutions for Class 10 Maths Chapter 6

Ncert Solutions for Class 10 Maths Chapter 7

Ncert Solutions for Class 10 Maths Chapter 8

Ncert Solutions for Class 10 Maths Chapter 9

Ncert Solutions for Class 10 Maths Chapter 10

Ncert Solutions for Class 10 Maths Chapter 11

Ncert Solutions for Class 10 Maths Chapter 12

Ncert Solutions for Class 10 Maths Chapter 13

Ncert Solutions for Class 10 Maths Chapter 14

Ncert Solutions for Class 10 Maths Chapter 15

NCERT SOLUTIONS

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