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.

ANSWERS:

1. Infinitely many solutions
2. Parallel
3. No solution
4. (3, 5)
5. 3x + 4y = 14
6. No solution
7. 9
8. x=6, y=0
9. for all values of p, except 4.
10. x axis