  CBSE Class 9 Linear Equations In Two Variables MCQ New

## CBSE Class 9 Linear Equations In Two Variables MCQ By Clarify Knowledge

CBSE Class 9 Linear Equations In Two Variables MCQ New Pattern 2022

## CBSE Class 9 Linear Equations In Two Variables MCQ Table

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 infinite solutions.

2) 3x+10 = 0 will have:

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+2y=2 cuts the y-axis at (0,1).

7) Any point on 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:

11) A linear equation in two variables is of the form ax + by + c = 0, where

(a) a = 0, c = 0

(b) a ≠ 0, b = 0

(c) a = 0, b ≠ 0

(d) a ≠ 0, b ≠ 0

Explanation:  A linear equation in two variables is of the form ax + by + c = 0, where a ≠ 0, b ≠ 0. If the values of “a” and “b” are equal to 0, the equation becomes c =0. Hence, the values of a and b should not be equal to 0.

12) Any point on the x-axis is of the form

(a) (x, y)

(b) (0, y)

(c) (x, 0)

(d) (x, x)

Explanation: Any point on the x-axis is of the form (x, 0). On the x-axis,  x can take any values, whereas y should be equal to 0.

13) Any point on the y-axis is of the form

(a) (y, y)

(b) (0, y)

(c) (x, y)

(d) (x, 0)

Explanation: Any point on the y-axis is of the form (0, y). On the y-axis, y can take any values and x should be equal to 0.

14) The linear equation 2x – 5y = 7 has

(a) No solution

(b) unique solution

(c) Two solutions

(d) Infinitely many solutions

Explanation: The linear equation 2x-5y has infinitely many solutions. Because, the equation 2x-5y = 7 is a single equation, that involves two variables. Hence, for different values of x, we will get different values of y and vice-versa.

15) The linear equation 3x – y = x – 1 has

(a) No solution

(b) unique solution

(c) Two solutions

(d) Infinitely many solutions