Question Paper
Class / Subject: Class 10 (CBSE) · Mathematics
Chapter: Chapter 3 — Chapter 3: Pair of Linear Equations in Two Variables
Time Allowed: 15 minutes
Max Marks: 6
1. If two lines representing linear equations intersect at one point, the equations have: [1]
(A) a unique solution
(B) no solution
(C) infinitely many solutions
(D) two solutions
2. If two lines are parallel and never meet, the equations have: [1]
(A) no solution
(B) a unique solution
(C) infinitely many solutions
(D) exactly two solutions
3. If two lines coincide exactly, the equations have: [1]
(A) infinitely many solutions
(B) no solution
(C) exactly one solution
(D) exactly two solutions
4. In the elimination method, we aim to: [1]
(A) eliminate one variable by adding/subtracting equations
(B) always add both equations regardless of coefficients
(C) substitute values randomly
(D) ignore one equation entirely
5. Solve using substitution: x+y=10 and x-y=2, giving x=6 and y=: [1]
(A) 4
(B) 8
(C) 2
(D) 6
6. The substitution method works well when: [1]
(A) one equation is already solved for a variable
(B) both equations have the same coefficients
(C) neither equation has a variable
(D) the equations are quadratic