Question

Assertion : The point $(-5,0)$ lies on the y-axis and $(0,-4)$ lies on x-axis.

Reason : Every point on the x-axis has zero distance from x-axis and every point on the y-axis has zero distance from y-axis.

• A. If both assertion and reason are true and the reason is correct explanation of assertion.
• B. If both assertion and reason are true and the reason is not correct explanation of assertion.
• C. If assertion is true but reason is false
• D. If assertion is false but reason is true

Answer 1

The correct option is D

If assertion is false but reason is true

Step 1: Determining the assertion

We know that, when a point lies on the x-axis, the ordinate value is $0$, while on the y-axis the abscissa value is $0$.

The given point $(-5,0)$ has the ordinate value as $0$ and hence the point lies on the x-axis.

The given point $(0,-4)$ has the abscissa value as $0$ and hence the point lies on the y-axis.

Thus the assertion is false.

Step 2: Determining the reason

By definition, we know that when a point lies on the x-axis, the distance between the x-axis and the point will always be $0$.

and when the point lies on the y-axis the distance between the y-axis and the point will always be $0$.

Thus the reason is true.

Therefore the correct answer is option D.