## 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

**Answer/Explanation**

Answer: (c)

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

**Answer/Explanation**

Answer:(a)

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)

**Answer/Explanation**

Answer: (c)

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

**Answer/Explanation**

Answer: (d)

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

**Answer/Explanation**

Answer:(b)

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)

**Answer/Explanation**

Answer: (c)

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)

**Answer**

(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

**Answer**

(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

**Answer**

(b)

**10. 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

**Answer**

(a)

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

a) A unique solution

b) Two solutions

c) Infinitely many solutions

d) No solutions

**Answer**

(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

**Answer**

(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

**Answer**

(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)

**Answer**

(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

**Answer**

(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)

**Answer**

(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

**Answer**

(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

**Answer**

(c)

**19. **Any point on the x-axis is of the form:

a) (0, y)

b) (x, 0)

c) (x, x)

d) (x, y)

**Answer**

(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

**Answer**

(b)

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

a) 1st quadrant

b) 2nd quadrant

c) 3rd quadrant

d) 4th quadrant

**Answer**

(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)

**Answer**

(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

**Answer**

(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

**Answer**

(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

**Answer**

(c)