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

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

MCQs from Class 9 Maths Chapter 4 – Linear Equations in Two Variables are provided here to help students prepare for their upcoming Maths exam.

MCQs from CBSE Class 9 Maths Chapter 4: Linear Equations in Two Variables

1. The linear equation 3x-11y=10 has:
a) Unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions

Explanation: 3x-11y=10

y=(10-3x)/11

Now for infinite values of x, y will also have the infinite solutions.

2. 3x+10 = 0 will has:
a) Unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions

Explanation: 3x+10 = 0

x = -10/3.

Hence, only one solution is possible.

3. The solution of equation x-2y = 4 is:
a) (0,2)
b) (2,0)
c) (4,0)
d) (1,1)

Explanation: Putting x=4 and y = 0, on the L.H.S. of the given equation, we get;

4-2(0) = 4 – 0 = 4

Which is equal to R.H.S.

4. 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

Explanation: 2x + 3y = k

k=2(1)+3(2) = 2+6 = 8

5. Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:
a) 4/3
b) 5/3
c) 3
d) 7/3

Explanation: 3y = kx + 7

Here, x = 3 and y = 4

Hence,

(3×4) = (kx3) + 7

12 = 3k+7

3k = 12–7

3k = 5

k = 5/3

6. 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)

Explanation: x+2y = 2

y = (2-x)/2

If x=0, then;

y=(2-0)/2 = 2/2 = 1

Hence, x+3y=2 cuts y-axis at (0,1).

7. Any point on the line x = y is of the form:
a) (k, -k)
b) (0, k)
c) (k, 0)
d) (k, k)

(d)

8. 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)

9. In equation, y = mx+c, m is:
a) Intercept
b) Slope of the line
c) Solution of the equation
d) None of the above

(b)

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

(a)

11. The linear equation 4x – 10y = 14 has:
a) A unique solution
b) Two solutions
c) Infinitely many solutions
d) No solutions

(c)

12. Find the number of solutions of the following pair of linear equations. x + 2y – 8 = 0 and 2x + 4y = 16:
a) 0
b) 1
c) 2
d) Infinite

(d)

13. 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)

14. The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:
a) (2, 0)
b) (0, 3)
c) (3, 0)
d) (0, 2)

(d)

15. The equation y = 5, in two variables, can be written as:
a) 1 .x + 1 .y = 5
b) 0 .x + 0 .y = 5
c) 1 .x + 0 .y = 5
d)0 .x + 1 .y = 5

(d)

16. Any point on the line y = x is of the form:
a) (a, –a)
b) (0, a)
c) (a, 0)
d) (a, a)

(d)

17. The graph of x = 5 is a line:
a) Parallel to x-axis at a distance 5 units from the origin
b) Parallel to y-axis at a distance 5 units from the origin
c) Making an intercept 5 on the x-axis
d) Making an intercept 5 on the y-axis

(b)

18. x = 9, y = 4 is a solution of the linear equation:
a) 2x + y = 17
b) x + y = 17
c) x + 2y = 17
d) 3x – 2y = 17

(c)

19. Any point on the x-axis is of the form:
a) (0, y)
b) (x, 0)
c) (x, x)
d) (x, y)

(b)

20. If a linear equation has solutions (–3, 3), (0, 0) and (3, –3), then it is of the form:
a)y – x = 0
b)x + y = 0
c) –2x + y = 0
d) –x + 2y = 0

(b)

21. The positive solutions of the equation ax + by + c = 0 always lie in the:

(a)

22. The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:
a) (0, 3)
b) (3, 0)
c) (2, 0)
d) (0, 2)

(c)

23. The point of the form (a, –a) always lies on the line:
a) x = a
b) y = –a
c) y = x
d) x + y = 0

(d)

24. The graph of x = 9 is a straight line:
a) Intersecting both the axes
b) parallel to y-axis
c) parallel to x-axis
d) Passing through the origin

(b)

25. Equation of the line parallel to x-axis and 6 units above the origin is:
a) x = 6
b) x = –6
c)y = 6
d)y = –6