Focus and directrix of the parabola $x^{2} = - 8 a y$ are

(0, -2a) and y = 2a

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(0, 2a) and y = - 2a

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(2a, 0)and x = - 2a

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(-2a, 0) and x = 2a

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Solution

The correct option is A (0, -2a) and y = 2a
Given equation is $x^{2} = - 8 a y$ . It's of the form $X^{2} = - 4 A Y$
Here A = 2a
Focus of parabola is (0, - A) i.e. (0, -2a)
Directrix y = A i.e., y = 2a.

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