Below you will find **MCQ Questions of Chapter 4 Linear Equations in Two variables Class 9 Maths Free PDF Download** that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 9 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 9 Maths Chapter 4 Linear Equations in Two variables with answers

1. The area of the triangle formed by the line 2x + 5y = 10 and the coordinate axes is

(a) 3 sq. units

(b) 5 sq. units

(c) 4 sq. units

(d) 10 sq. units

► (a) 3 sq. units

2. y = 0 is the equation of

(a) a line parallel to x-axis

(b) a line parallel to y-axis

(c) x-axis

(d) y-axis

► (c) x-axis

3. The straight line passing through the points (0, 0), (–1, 1) and (1, – 1) has the equation :

(a) 2 – x = 3y

(b) y = x

(c) 2x – y = 0

(d) x + y = 0

► (d) x + y = 0

4. The graph of the equation 2x – 3 = 3x – 5 is parallel to :

(a) x-axis

(b) y-axis

(c) Both the axes

(d) None of these

► (b) y-axis

5. If x = 1,y = 1 is a solution of equation 9ax + 12ay = 63 then, the value of a is :

(a) - 3

(b) 3

(c) 7

(d) 5

► (b) 3

6. The point of the form (a, a), where a ¹ 0 lies on

(a) the line x + y = 0

(b) the line y = x

(c) the y-axis

(d) the x-axis

► (b) the line y = x

7. x = 0 is the equation of

(a) y-axis

(b) a line parallel to x-axis

(c) x-axis

(d) a line parallel to y-axis

► (a) y-axis

8. x = 2, y = – 1 is a solution of the line equal to :

(a) 2x + 3y = 5

(b) x + y = 5

(c) x + y = 1

(d) x – y = 9

► (c) x + y = 1

9. x – 4 is the equation of

(a) a line parallel to x-axis

(b) y-axis

(c) x-axis

(d) a line parallel to y-axis

► (d) a line parallel to y-axis

10. All linear equations in two variables have ————– .

(a) One solution

(b) Infinitely many solutions

(c) Three solutions

(d) Two solution

► (b) Infinitely many solutions

11. For two lines 2x + y = 1 and x – y = 2 if the x coordinate of the common point is 1 what is the y coordinate?

(a) -1

(b) 2

(c) -2

(d) 3

► (a) -1

12. An equation of the type ______ represents a line passing through the origin.

(a) y = m + x + 1

(b) y = m + x

(c) y = mx

(d) x = m – y

► (c) y = mx

13. For what value of ‘k’, x = 2 and y = -1 is a solution of x + 3y – k = 0?

(a) 1

(b) -2

(c) 3

(d) -1

► (d) -1

14. Geeta’s age is 3 years more than thrice m, the age of Meeta. Write an equation of first degree to display this information.

(a) g + 3 = 3m

(b) g – 3 = 3m

(c) g + 3m + 3 = 0

(d) g – 3m + 3 = 0

► (b) g – 3 = 3m

15. The straight line 2x – 5y = 0 passes through the point :

(a) (–1, 1)

(b) (3, 1)

(c) (0, 0)

(d) None of these

► (c) (0, 0)

16. Which of the following is a linear inequality with two variables?

(a) 2x + 8y ≥ 9

(b) 8x + 9y = 0

(c) 10x + 7 ≤ 2

(d) None of the these

► (a) 2x + 8y ≥ 9

17. The equation of a line parallel to the y-axis and 4 units above the origin is

(a) y = 4

(b) x = -4

(c) y = -4

(d) x = 4

► (d) x = 4

18. (2,-3) is a solution of 3x + 4y + k = 0. So, the value of k must be

(a) -6

(b) 6

(c) -4

(d) 4

► (b) 6

19. The cost of a pencil is thrice the cost of rubber.The equivalent linear equation in two variables of above statement is:

(a) p = 3 -r

(b) p =1/3 +r

(c) p = 3r

(d) p = 3 + r

► (c) p = 3r

20. Which of the following pair is a solution of the equation 3x – 2y = 7?

(a) (1, -2)

(b) (-2, 1)

(c) (5, 1)

(d) (1, 5)

► (a) (1, -2)

21. The graph of the linear equation x + y = 0 passes through the point

(a) (0, 1)

(b) (1, 0)

(c) (1, 1)

(d) (1, -1)

► (d) (1, -1)

22. The linear equation 2x + 5y = 8 has:

(a) A unique solution

(b) Infinitely many solution

(c) No solution

(d) Two solution

► (b) Infinitely many solution

Hope the given MCQ Questions will help you in cracking exams with good marks. These **Linear Equations in two variables MCQ Questions** will help you in practising more and more questions in less time.