Class 9 Maths MCQ – Equations of Lines Parallel to x-axis and y-axis

This set of Class 9 Maths Chapter 4 Multiple Choice Questions & Answers (MCQs) focuses on “Equations of Lines Parallel to x-axis and y-axis”.

1. Which of the following line satisfies the equation x=2?
a)
b)
c)
d)

Explanation: Line x=2 means value of x-coordinate is 2 throughout the line and it doesn’t change. Line shown in diagram satisfies this condition since the value of x-coordinate doesn’t change on that line.

2. Line of the equation y=a (a is constant) is __________
a) Parallel to X – axis
b) Parallel to Y – axis
c) Makes an angle of 45 degree with X – axis
d) Makes an angle of 45 degree with Y – axis

Explanation: y=a where a is constant shows that shape of this line is independent of value of X. It means that value of Y will be same throughout the line. This line is shown below.

3. Number of solutions of the equation x-4=0 are?
a) Infinite
b) Three
c) Two
d) One

Explanation: Since the given equation x-4=0 is only in one variable, i.e. x, it has only one solution and that is x=4 and it is independent of value of y.

4. Number of solutions of the equation x+0y-4=0 are?
a) One
b) Three
c) Infinite
d) Two

Explanation: Since the given equation is in two variables x and y and coefficient of y is 0, solutions of this equation are: (x, y) = (4, 0), (4, 1), (4, 2), …… (4, r) where r is any real number. You can see that solution only have to satisfy the value of x and it true for any real value of y. Thus the given equation has infinite solutions.

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