# NCERT Class 10 Math Chapter 3 MCQ Question Answer – Pair of Linear Equations in Two Variables

 Class 10 Chapter Pair of Linear Equations in Two Variables Subject Math Category MCQ

## Class 10 Math Chapter 3 MCQ Question Answer

1. If in equations a1x + b1y + c₁ = 0 and a₂x+b₂y+c2=0, then which of the following is true?
(A) Unique solution
(B) No solution
(C) Infinite solutions
(D) None of these

Ans – (C) Infinite solutions

2. If in equations a1x + b1y + c₁ = 0 and a2x + b2y + c2 = 0,  then which of the following is true?
(A) Intersecting lines
(B) Coincident lines
(C) Parallel lines
(D) None of these

Ans – (C) Parallel lines

3. Solution of a pair of linear equations x – 2y + 3 = 0 and 3x – 6y + 9 = 0 will be :
(A) Unique solution
(B) No solution
(C) Infinitely many solutions
(D) None of these

Ans – (C) Infinitely many solutions

4. Solution of a pair of linear equations x – 2y + 5 = 0 and 3x – 6y + 10 = 0 will be:
(A) Unique solution
(B) No solution
(C) Infinitely many solutions
(D) None of these

Ans – (C) Infinitely many solutions

5. The solution of linear equations 3x + 4y = 10 and x – y =1 is :
(A) x=1,y=2
(B) x=3, y=1
(C) x=2, y=1
(D) x=4, y=3

Ans – (C) x=2, y=1

6. The solution of linear equations s – t=3 and is :
(A) s=3, t=5
(B) s=6, t=9
(C) s=9, t=6
(D) s=5, t=3

Ans – (C) s=9, t=6

7. Linear equations 2x – 3y + 9 = 0  and 4x – 6y + 18 = 0 represents lines :
(A) Intersecting
(B) Coincident
(C) Parallel
(D) None of these

Ans – (B) Coincident

8. Point P(6, -4) lies in which quadrant ?
(A) First
(B) Second
(C) Third
(D) Fourth