MCQ Questions | Class 10 Maths Chapter 3

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

MCQ Questions for Class10 Maths Chapter 3 Pair of Linear Equations in Two Variables

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

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. a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, where a1, b1, c1, a2, b2, c2 are all real numbers and a12+ b12 ≠ 0, a22 + b22 ≠ 0, is called a
A. family of two different straight lines
B. family of two coincident lines
C. pair of linear equations in two variables
D. none of these
Ans: pair of linear equations in two variables
Explaination:
Definition of pair of linear equations in two variables.

Q2. A pair of linear equations which has a unique solution x = 2, y = -3 is
A. x + y = —1; 2x – 3y = -5
B. 2x + 5y = -11; 4x + 10y = -22
C. 2x – y = 1 ; 3x + 2y = 0
D. x-4y- 14 = 0; 5x-y- 13 = 0
Ans: 2x + 5y = -11; 4x + 1y = -22
Q3. The father’s age is six times of his son’s age. Four years hence, the age of the father will be four times of his son’s age. The present ages, in years, 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
Explaination:
Let F and S be the ages of father and sos respectively.
ATQ F = 6S …(i)
F + 4 = 4(S + 4)
⇒ F + 4 = 4S + 16 …(ii)
Substituting F = 6S in (ii), we get
6S + 4 = 4S + 16
2S = 12 .
⇒ S = 6; F = 36

Q4. The difference between a two digit number and the number obtained by interchanging the digits is 27. What is the difference betw een the two digits of the number?
A. 9
B. 6
C. 12
D. 3
Ans: 3
Explaination:
Let number is 10x + y (x, y are the digits).
Number obtained by interchanging the digits = 10y+x
∴ 10x + y – (10y + x) = 27
9(x -y) = 27
∴ x – y = 3
Q5. Two equations in two variables taken together are called
A. linear equations
B. quadratic equations
C. simultaneous equations
D. none of these
Ans: simultaneous equations
Q6. The graph of x = -2 is a line parallel to the
A. x-axis
B. y-axis
C. both x- and y-axis
D. none of these
Ans: y-axis
Q7. One equation of a pair of dependent linear equations is -5x + 7y = 2, the second equation can be :
A. -10x + 14y + 4 = 0
B. -10x – 14x + 4 = 0
C. 10x – 14y = -4
D. 10x + 14y + 4 = 0
Ans: 10x – 14y = -4
Q8. Find a and b for which (a - 1) x + 3y = 2, 6x + (1 - 2b) y = 6 infinite solution.​
A. a = -7, b= -4
B. a = -1, b = -4
C. a = 3, b = -1
D. a = 3, b = -4
Ans: a = 3, b = -4
Q9. 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)
Q10. The present age of a father is the sum of the ages of his three sons. Ten years from now his age will be a three quarter of the sum of their ages then. How old is the father?
A. 50 years
B. 30 years
C. 40 years
D. 60 years
Ans: 50 years
Q11. Which of the following is not a solution of pair of equations 3x – 2y = 4 and 6x – 4y = 8?
A. x = 5, y = 3
B. x = 2, y = 1
C. x = 6, y = 7
D. x = 4, y = 4
Ans: x = 5, y = 3
Q12. 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
Q13. The pair of equations y = 0 and y = -7 has :
A. no solution
B. infinitely many solutions
C. one solution
D. two solutions
Ans: no solution
Q14. The graph of y = 5 is a line parallel to the
A. x-axis
B. y-axis
C. both axis
D. none of these
Ans: x-axis

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


    MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat A
    MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat B
    MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat C
    MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat D

Ncert Solutions for Class 10 Maths Chapter 2


    MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat A
    MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat B
    MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat C

Ncert Solutions for Class 10 Maths Chapter 3


    MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat A
    MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat B
    MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat C

Ncert Solutions for Class 10 Maths Chapter 4


    MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat A
    MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat B
    MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat C

Ncert Solutions for Class 10 Maths Chapter 5


    MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat A
    MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat B
    MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat C

Ncert Solutions for Class 10 Maths Chapter 6


    MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat A
    MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat B

Ncert Solutions for Class 10 Maths Chapter 7


    MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat A
    MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat B

Ncert Solutions for Class 10 Maths Chapter 8


    MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat A
    MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat B
    MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat C

Ncert Solutions for Class 10 Maths Chapter 9


    MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat A
    MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat B

Ncert Solutions for Class 10 Maths Chapter 10


    MCQ Questions for Class 10 Maths Chapter 10 Circles Sat A
    MCQ Questions for Class 10 Maths Chapter 10 Circles Sat B

Ncert Solutions for Class 10 Maths Chapter 11


    MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat A
    MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat B

Ncert Solutions for Class 10 Maths Chapter 12


    MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat A
    MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat B

Ncert Solutions for Class 10 Maths Chapter 13


    MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat A
    MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat B
    MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat C

Ncert Solutions for Class 10 Maths Chapter 14


    MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat A
    MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat B

Ncert Solutions for Class 10 Maths Chapter 15


    MCQ Questions for Class 10 Maths Chapter 15 Probability Sat A
    MCQ Questions for Class 10 Maths Chapter 15 Probability Sat B

      NCERT SOLUTIONS

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