# Class 9 Maths Chapter 4 | Linear Equations In Two Variables MCQ

CBSE CLASS 9 MATHEMATICS MCQ

Multiple Choice Questions / Linear Equations in Two Variables – Chapter 4

1. Any equation of the form ax + by + c = 0 where a, b and c are real numbers and a and b are not both zero is called a ————-

A. Linear equations in two variables

B. Quadratic equations in two variables

C. Cubic equation in two variables

2. The equation y = 2 in two variables can be written as ——————

A. 0 .x + 1 .y = 2

B. 1. x + 0. y = 2

C. 1. x + 0 .y = 0

3. A linear equation in two variables has ———– solutions.

A. One solution

B. Finite solutions

C. Infinitely many solutions

4. Which of the following is not a solution of the equation 2x + y = 7

A. (0, 7)

B. (1, 4)

C. (2, 3)

5. The value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k is ———

A. 5

B. 6

C. 7

6. The graph of the equation of the form y = kx is a line which always passes through the ————-

A. x axis

B. y axis

C. Origin

7. If the point (3, 4) lies on the graph of the equation 3y = ax + 7, then the value of a is ————-

A. 3/5

B. 5/3

C. 3/7

8. The graph of every linear equation in two variables is a ——–

A. Straight line

B. Curved figure

C. open curve

9. The graph of x = a is a straight line parallel to the ——— axis.

A. x axis

B. y axis

C. None of these

10. The graph of y = a is a straight line parallel to the ——— axis.

A. x axis

B. y axis

C. None of these

11. Any point on the x axis is of the form ————

A. (x, 0)

B. (0, x)

C. (0, y)

12. The equation of y axis is of the form —————

A. y = 0

B. x = 0

C. x = 1

13. The graph of y = 3 is a line ————-

A. Parallel to x axis at distance 3 units from the origin.

B. Parallel to y axis at distance 3 units from the origin.

C. None of these

14. x = 4, y=3 is a solution of the linear equation:

A. 2x + y = 17

B. 2x + 3y = 17

C. x + 3y = 17

15. Solution of the equation 3x – 5 = 2x + 1is —————-

A. 5

B. 6

C. 7

**ANSWERS:**

1. Linear equations in two variables

2. 0. x + 1. y = 2

3. Infinitely many solutions

4. (1, 4)

5. 7

6. Origin

7. 5/3

8. Straight line

9. y axis

10. x axis

11. (x, 0)

12. x = 0

13. Parallel to x axis at distance 3 units from the origin

14. 2x + 3y = 17

15. 6