# Pair of linear equations in two variables – Class 10/ MCQ

CBSE CLASS 10 MATHEMATICS/MCQ

1. The equations 2x + 3y = 9 and 4x + 6y = 18 have ———- solutions.
A. One solution
B. No solution
C. Infinitely many solutions
2. Graphically the pair of equations x + 2y – 4 =0 and 2x + 4y -12 =0 represents two lines which are —————
A. Intersecting
B. Parallel
C. Coincident
3. The pair of equations x+2y-4 =0 and 2x+4y-12 =0 have ——–
A. One solution
B. No solution
C. Infinitely many solutions
4. Which of these points lie on the line 4x + 3y = 27.
A. (3, 5)
B. (5, 3)
C. (0, 9)
5. Which of these following equations have x = -2, y= 5 as solutions.
A. 3x – 4y = 14
B. 3x + 4y = 14
C. 4y – 3x = 14
6. The pair of linear equations 2x + 5y = 9 and (2x/5) + y = 5 has ——– solutions.
A. One solution
B. No solution
C. Infinitely many solutions
7. For what value of k, the pairs of equations 3x – 9y = 7 and 3x – ky = 8 has no solution.
A. 3
B. 6
C.9
8. The solution of the pair of linear equations x + 3y = 6 and 2x – 3y = 12 is ——
A. x=0, y=6
B. x= 6, y=0
C. x = 0, y=0
9. For which values of p does the pair of equations 4x+py+8=0, 2x+2y+2=0 has unique solution?
A. For all values of p, except 4
B. 4
C. 2
10. The graph of x= -5 is a line parallel to the ——————-
A. x axis
B. y axis
C. Passing through origin.