Assertion :Let $L_{1}, L_{2}, L_{3}$ be three distinct lines in a plane P and another line L, is equally inclined with these three lines. Reason: The line L is parallel to the plane P.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
If $l_{1} l_{2} l_{3}$ belongs to same plane and $L$ is equally inclined then $L$ need not be parallel. Consider case shown below. $L$ is perpendicular lane containing lines $l_{1} l_{2} l_{3}$ $∴ L$ makes equal angle $90^{0}$ with $l_{1} l_{2} l_{3}$

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