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)

View Answer

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

View Answer

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

View Answer

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

View Answer

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.

**Sanfoundry Global Education & Learning Series – Mathematics – Class 9**.

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