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

Answer: c

Explanation: 3x-11y=10


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: 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: 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) 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

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: b

Explanation: 3y = kx + 7

Here, x = 3 and y = 4


(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: 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 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)

Answer: d

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

Answer: b

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

a. Intercept

b. Slope

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 the:

a. First quadrant

b. Second quadrant

c. Third quadrant

d. Fourth quadrant

Answer: a


  1. Abhinav Abhilash

    Its very good questions it helped me in online test.

    1. its very good question thanks byjus

  2. Can we get some tough questions here please ???

    1. Karanthecoolsharma

      Its an mcq test . If you want something difficult then type 10 mark questions with which answers are not given

  3. nice my teacher gave me this only in my online test

  4. Nice it help me in my studies of online test .

  5. It was good and helpful.
    increase the number of questions.

  6. Really good it helped me in my online test

  7. nice thank you

  8. Antarjit Chakraborty

    Reallly good it also helped me in online test

  9. Nice ,it help me in my online tests

  10. Thank You Byjus for these questions

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