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

**CBSE CLASS 10 MATHEMATICS/MCQ**

- The equations 2x + 3y = 9 and 4x + 6y = 18 have ———- solutions.

A. One solution

B. No solution

C. Infinitely many solutions - 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 - The pair of equations x+2y-4 =0 and 2x+4y-12 =0 have ——–

A. One solution

B. No solution

C. Infinitely many solutions - Which of these points lie on the line 4x + 3y = 27.

A. (3, 5)

B. (5, 3)

C. (0, 9) - Which of these following equations have x = -2, y= 5 as solutions.

A. 3x – 4y = 14

B. 3x + 4y = 14

C. 4y – 3x = 14 - 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 - 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 - 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 - 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 - The graph of x= -5 is a line parallel to the ——————-

A. x axis

B. y axis

C. Passing through origin.

**ANSWERS:**

- Infinitely many solutions
- Parallel
- No solution
- (3, 5)
- 3x + 4y = 14
- No solution
- 9
- x=6, y=0
- for all values of p, except 4.
- x axis