Question

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.

Answer 1

(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
We know that $y=mx$ is the equation of a line passing through the origin.

To check we will put the value of origin(0,0) in the equation:
LHS: y = 0
RHS : m(0) = 0
Since, LHS = RHS = 0
Therefore, origin satisfies the given equation.

Moreover, we know that $y=b$ is the equation of the line parallel to the $\text{x}$-axis.
So, Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).