## MCQ Questions for Class 9 Maths: Ch 4 Linear Equations in Two Variables

1. The solution of equation x-2y = 4 is:

(a) (0,2)

(b) (2,0)

(c) (4,0)

(d) (1,1)

► (c) (4,0)

2. The graph of linear equation x+2y = 2, cuts the y-axis at:

(a) (2,0)

(b) (0,2)

(c) (0,1)

(d) (1,1)

► (c) (0,1)

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

(a) 5

(b) 6

(c) 7

(d) 8

► (d) 8

4. Rozly can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water?

(a) 6 km/hr

(b) 4 km/hr

(c) 3 km/hr

(d) 7 km/hr

►(b) 4 km/hr

5. 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

6. Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.

(a) 20

(b) 50

(c) 60

(d) 40

► (b) 50

7. For the equation 5x – 7y = 35, if y = 5, then the value of ‘x’ is

(a) -12

(b) -14

(b) 14

(d) 12

► (c) 14

8. 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

9. The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new number is 4 more than 5 times of the sum of the digits in the first number. Find the first number.

(a) 46

(b) 48

(c) 64

(d) 84

► (c) 64

10. The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is:

(a) 6

(b) 5

(c) 7

(d) -7

► (c) 7

11. The point lying on the equation 2x – y = 5 is:

(a) (3, 4)

(b) (-3, 1)

(c) (6, 1)

(d) (2, -1)

► (d) (2, -1)

12. 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

13. 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

14. The graph of x = 3 is a line:

(a) Parallel to x-axis at a distance of 3 units from the origin

(b) Parallel to y-axis at a distance of 3 units from the origin

(c) Makes an intercept 3 on x-axis

(d) Makes an intercept 3 on y-axis

► (b) Parallel to y-axis at a distance of 3 units from the origin

15. The linear equation 4x – 10y = 14 has:

(a) A unique solution

(b) Two solutions

(c) Infinitely many solutions

(d) No solutions

► (c) Infinitely many solutions

16. If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:

(a) 4

(b) 6

(c) 5

(d) 2

► (a) 4

17. If x and y are both positive solutions of equation ax+by+c=0, always lie in:

(a) First quadrant

(b) Second quadrant

(c) Third quadrant

(d) Fourth quadrant

► a) First quadrant

18. The equation of a line parallel to x-axis and 3 units above the origin is

(a) x = -3

(b) x = 3

(c) y = -3

(d) y = 3

► (d) y = 3

19. The value of k if x = 2, y = 1 is a solution of equation 2x – k = – 3y is

(a) 7

(b) -7

(c) 6

(d) 5

► (a) 7

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

(a) One solution

(b) Infinitely many solutions

(c) Three solutions

(d) Two solution

► (b) Infinitely many solutions

21. The solution of the equation x + y = 3, 3x – 2y = 4 is :

(a) x = 2, y = 1

(b) x = 1, y = 2

(c) x = –2, y = 1

(d) x = –2, y = –1

► (a) x = 2, y = 1

22. Solutions of the equation 2x + 5y = 0 is:

(a) 3,0

(b) -3,2

(c) 0,0

(d) 0,4

► (c) 0,0

23. If x = a, y = b is the solution of the pair of equation x-y = 2 and x+y = 4 then what will be value of a and b

(a) 2,1

(b) 3,1

(c) 4,6

(d) 1,2

► (b) 3,1

24. A linear equation in two variables has maximum :

(a) Only one solution

(b) Two solution

(c) Infinite solution

(d) None of these

► (c) Infinite solution

25. If the line represented by the equation 3x + Î±y = 8 passes through the points (2,2), then the value of Î± is

(a) 0

(b) 4

(c) 3

(d) 1

► (d) 1