Maths Quiz for Class 9th CBSE Board

This quiz is for class 9th students who are pursuing CBSE Board. The chapter’s name is Linear Equations. Just go through these questions and tick them to correct answers.

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Maths Quiz for Class 9th CBSE Board (Linear Equations in Two Variables)

Here we have Maths 33 MCQs for Class 9th CBSE Board for the Chapter Linear Equations in Two Variables. Please solve it for better understanding in maths. Time allowed is 15 Minutes

1 / 33

The solution of x = 2 in two variables can be written as:

(x, 2)

(2, 2)

(0, 2)

(2, y)

2 / 33

The graph of the linear equation y = x passes through the point:

(1, 1)

(3/2, -3/2)

(-1/2, 1/2)

(0, 3/2)

3 / 33

If x and y are both positive, the point (x, y) cannot lie on the line:

y = x

2x + 3y = 5

x + y = 10

x + y = -2

4 / 33

The equation of the x-axis is:

x = y

y = 0

x = 0

x + y = 0

5 / 33

Which of the following is a linear equation in two variables?

x³ - y = 4

2x + 3y = 7

x² + y = 5

xy = 10

6 / 33

Which of the following is a linear equation in two variables?

x^2 + y = 5

x + 1/x = y

2x + 3 = y^{-1}

3x + 4y = 9

7 / 33

The equation 5x - 2y = 10 has:

Only one solution

Exactly two solutions

No solution

Infinite solutions

8 / 33

The distance between the graph of the equations x = -3 and x = 2 is:

3 units

2 units

1 unit

5 units

9 / 33

Any point on the x-axis is of the form:

(x, 0)

(x, y)

(0, y)

(x, x)

10 / 33

The standard form of a linear equation in two variables is given by ax + by + c = 0. For
this to be a linear equation in two variables, which condition must be met?

a ≠ 0, b = 0

(b) a^2 + b^2 ≠ 0

a = 0, b = 0

a = 0, b ≠ 0

11 / 33

What is the solution set of a linear equation in two variables?

Points on a line

A single point

Two points

No points

12 / 33

How many solutions does the linear equation 3x + 4y = 12 have?

Only one unique solution

No solution

Infinitely many solutions

Exactly two solutions

13 / 33

If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is:

14 / 33

The graph of y = 5 is a:

Vertical line

Circle

Curve

Horizontal line

15 / 33

If the point (3, 4) lies on the graph of the equation 3y = ax + 7, then the value of a is:

5/3

7/3

3/5

16 / 33

Which of the following is NOT a solution of 2x + y = 4?

(1, 1)

(0, 4)

(2, 0)

(1, 2)

17 / 33

The equation $x = 7$ , in two variables, can be written as:

0 . x + 0 . y = 7

1 . x + 1 . y = 7

0 . x + 1 . y = 7

1 . x + 0 . y = 7

18 / 33

If we multiply or divide both sides of a linear equation by a non-zero number, then the solution of the linear equation:

Remains the same

Changes

Changes in case of division only

Changes in case of multiplication only

19 / 33

The point (0,0) satisfies which equation?

x + y = 1

x - y = 5

2x - y = 0

x + 2y = 4

20 / 33

The linear equation 3x - y = x - 1 has:

No solution

Only two solutions

Infinitely many solutions

x = -1, y = 1 as the only solution

21 / 33

Which ordered pair satisfies the equation x + y = 5?

(4, 4)

(2, 2)

(3, 2)

(1, 1)

22 / 33

How many linear equations in x and y can be satisfied by x = 1 and y = 2?

Only one

Three

Infinitely many

Two

23 / 33

The positive solutions of the equation ax + by + c = 0 always lie in the:

1st quadrant

3rd quadrant

2nd quadrant

4th quadrant

24 / 33

The graph of the linear equation y = 3x passes through which of the following points?

(0, 3)

(3, 1)

(1, 3)

(3, 0)

25 / 33

Any solution of the linear equation 2x + 0y + 9 = 0 in two variables is of the form:

(-9/2, m)

(-9, 0)

(0, -9/2)

(n, -9/2)

26 / 33

Which equation represents a horizontal line?

y = 7

x + y = 0

2x - y = 5

x = 3

27 / 33

The graph of the linear equation 2x + 3y = 6 cuts the y-axis at the point:

(0, 3)

(0, 2)

(3, 0)

(2, 0)

28 / 33

The point of the form (a, -a) always lies on the line:

x + y = 0

y = x

x = a

y = -a

29 / 33

The graph of y = 6 is a line:

Parallel to the y-axis at a distance of 6 units from the origin

Parallel to the x-axis at a distance of 6 units from the origin

Making an intercept 6 on the x-axis

Passing through the origin

30 / 33

If the point (k, 2) lies on the graph of the equation x - 2y = 6, what is the value of k?

31 / 33

The age of a father is 3 years more than three times the age of his son. If x is the father's age and y is the son's age, the linear equation is:

3x - y = 3

x + 3y = 3

x - 3y = 3

x - 3y + 3 = 0

32 / 33

The graph of a linear equation in two variables is always a:

Straight line

Curve

Circle

Parabola

33 / 33

The equation y = 3x + 2 represents a:

Straight line

Parabola

Circle

Hyperbola

Your score is

The average score is 64%

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