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

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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.

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