Assertion: The point P(−3, 0) lies on x-axis.
Reason: Every point on x-axis is of the form (x, 0).
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Open in App

Solution

(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.

Explanation:
Assertion (A): The point P(-3,0) lies on the x-axis. This is true, as the ordinate of the point is 0.
Reason (R): Every point on the x- axis is of the form (x,0). This is also a true statement.
Hence, both the assertion and the reason are true and reason (R) is the correct explanation of assertion (A).
The correct answer is (a).

Suggest Corrections

Similar questions

Assertion: The point (-5,0) lies on y-axis and (0,-4) on x-axis.
Reason: Every point on the x-axis and every point on the y-axis has zero distance from y-axis.
Which of the following is correct?

Q. Assertion: The point O(0, 0) lies in quadrant I.
Reason: The point O(0, 0) lies on both the axes.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Assertion: If $a \neq b$ , then $(a, b) \neq (b, a)$ .
Reason: $(4, - 3)$ lies in Quadrant $I V$
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Assertion: y = mx represents a line passing through the origin.
Reason: Any line parallel to x-axis is y = b.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Assertion: x = 3 is a line parallel to the y-axis.
Reason: Any line parallel to the y-axis is y = k, where k ∈ R.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Join BYJU'S Learning Program