Question

Assertion: y = mx represents a line passing through the origin.
Reason: Any line parallel to the x-axis is y = k.
(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.

Answer 1

(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
We know that $y=mx$ represents a line passing through the origin.
So, Assertion (A) is true.
Moreover, we know that equation of a line parallel to the $\text{x}$-axis is $y=k$.
So, Reason (R) is also true.
Hence both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).