Question

Assertion (A): The point (0, 4) lies on y-axis.

Reason(R): The x coordinate of the point on y-axis is zero

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertions (A) is true but reason (R) is false.
(d) Assertions (A) is false but reason (R) is true

Answer 1

The point (0, 4) does indeed lie on the y-axis, but the given reason is not a correct explanation. The correct answer is (c) Assertions (A) is true but reason (R) is false.

Step-by-step explanation:

A point lies on the y-axis when its x-coordinate is zero. In this case, the point (0, 4) has an x-coordinate of zero, so it indeed lies on the y-axis. Therefore, Assertion (A) is true.

The reason (R) given is also true because the x-coordinate of a point on the y-axis is always zero. The x-coordinate represents the horizontal distance from the origin, and on the y-axis, this distance is always zero.

However, the reason is not the correct explanation of the assertion, as the reason alone does not provide any information about the y-coordinate.

Therefore, the correct answer is (c) Assertion (A) is true but reason (R) is false.