 # Class 9 Maths Chapter 4 Linear Equations In Two Variables

Class 9 Maths Chapter 4 (Linear equations in two variables) MCQs are provided here for students to score good marks. These objective questions are provided online with answers and detailed explanations. The chapter-wise MCQs are provided at BYJU’S, as per the latest CBSE syllabus and NCERT curriculum. Also, check Important Questions for Class 9 Maths here.

## MCQs on Class 9 Linear Equations in Two Variables

Multiple choice questions for 9th Standard, Linear equations in two variables are given below.

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=(3x-10)/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) Find 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 the 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)

8) The graph of x = 3 is a line:

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

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

c. Makes an intercept 3 on the x-axis

d. Makes an intercept 3 on the y-axis

9) In equation, y = mx+c, m is:

a. Intercept

b. Slope

c. Solution of the equation

d. None of the above

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

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