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Find the equation of directrix of parabola x^2=100y.(a) x=25(b) x=-25(c) y=-25(d) y=25The question was posed to me in an interview.This question is from Conic Sections topic in division Conic Sections of Mathematics – Class 11

Answer»

Right CHOICE is (c) y=-25

To explain I would SAY: Comparing EQUATION with x^2=4ay.

4a=100 => a=25. Directrix is a line parallel to LATUS RECTUM in such a way that vertex is at middle of both.

Equation of directrix is y=-a => y=-25.



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