    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.

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Solution

## (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).  Suggest Corrections  0    Join BYJU'S Learning Program
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