Assertion :The number of points on the curve $x^{2} = - 4 y$ from which mutually perpendicular tangents can be drawn to the parabola $x^{2} = 4 y$ is $2.$ Reason: Directrix of parabola is the locus of points having mutually perpendicular tangents to parabola.

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
The statement given in Reason is a well known property of parabola.
The directrix of $x^{2} = 4 y$ is $y = - 1$
This line intersects the curve $x^{2} = - 4 y$ at two points $(2, - 1)$ and $(- 2, - 1)$
So, the assertion is also correct.
And the reason is the correct explanation for assertion
So, answer is option (A).

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