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  4. If the equation of the parabola is x2 = - 8y, the equation of the directix and length of latus rectum, respectively are

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Q. If the equation of the parabola is $x^{2} = - 8y$, the equation of the directix and length of latus rectum, respectively are

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Solution:

Comparing the given equation with standard form $x^{2} = -4ay$ , we get $a = 2$.
Therefore, the equation of directrix is $y = 2$ and the length of the latus rectum is $4a$, i.e., $8$.