# CBSE Class 9 Maths - Linear Equations in Two Variables (MCQs)

Q1: A linear equation of two variables x and y can be represented as ax + by = c, where a, b, and c are:

(A) Rational numbers

(B) Irrational numbers

(C) Integers

(D) Real Numbers

Q2: The graph of the equation of the form y = kx is a line which?

(A) May pass through the origin.

(B) Always passes through the origin.

(C) Will not pass through origin

(D) Will be parallel to x-axis

Q3: Every point on the line representing the linear equation in two variables

(A) may not be a solution of the equation.

(B) is a solution of the equation.

(C) is a solution if it is also a point on x-axis.

(D) is a solution of the equation if it is also a point on y-axis.

Q4: The equation of the x-axis is

(A) x = 0

(B) y = 0

(C) x - y = 0

(d) x + y = 0

Q5: The graph of the linear equation 2x + 5y = 10 meets the x-axis at the point

(A) (0, 2)

(B) (2, 0)

(C) (5, 0)

(D) (0, 5)

Q6: Linear equation y = 3x + 5 has

(A) A unique solution.

(B) Only two solutions

(C) Infinitely many solutions

(D) No solution

Q7: Which of the following is NOT the solution of equation x - 2y = 4?

(A) (0, 2)

(B) (4, 0)

(C) (0, -2)

(D) (6, 1)

Q8: x = 5, y = 2 is a solution of which of the following linear equation?

(A) x + 2y = 7

(B) 5x + 2y = 7

(C) x + y = 7

(D) 5x + y = 7

Q9: The graph of y = b is?

(A) a straight line parallel to the x-axis.

(B) a straight line parallel to the y-axis.

(C) a point on y-axis

(D) a point on x-axis

Q10: Find k if x=3, y=1 is a solution of the equation 3x – y = k.

(A) 3

(B) -1

(C) 8

(D) 10

1: (D) Real Numbers

2: (B) Always passes through the origin.

3: (B) is a solution of the equation.

4: (B) y = 0

5: (C) (5, 0)

6: (C) Infinitely many solutions

7: (A) (0, 2)

8: (C) x + y = 7

9: (A) a straight line parallel to the x-axis.

10: (C) 8