Class 9 Maths Chapter 4 Linear Equations In Two Variables

Class 9 Maths Chapter 4 (Linear equations in two variables) 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 (2020-2021) and NCERT curriculum. Also, check Important Questions for Class 9 Maths.

MCQs on Class 9 Linear Equations in Two Variables

Multiple choice questions for 9th Standard, Linear equations in two variables are available below with four different options. Students have to choose the right answer among them.

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

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: 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) 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

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: 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