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.

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Solution

(c) Assertion is true and Reason is false.
We know that $x = 3$ is a line parallel to $y$ -axis.
Hence, Assertion (A) is true.
Any line parallel to the $y$ -axis is of the form $x = k$ , where $k \in R$ .
Hence Reason (R) is not true.
Hence, Assertion (A) is true and Reason (R) is false.

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(c) Assertion is true and Reason is false. We know that x = 3 is a line parallel to y-axis. Hence, Assertion (A) is true. Any line parallel to the y-axis is of the form x = k, where k∈ R. Hence Reason (R) is not true. Hence, Assertion (A) is true and Reason (R) is false.

(c) Assertion is true and Reason is false.
We know that $x = 3$ is a line parallel to $y$ -axis.
Hence, Assertion (A) is true.
Any line parallel to the $y$ -axis is of the form $x = k$ , where $k \in R$ .
Hence Reason (R) is not true.
Hence, Assertion (A) is true and Reason (R) is false.