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

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 + αy = 8 passes through the points (2,2), then the value of α is
(a) 0
(b) 4
(c) 3
(d) 1
► (d) 1
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