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

Answer»

Right choice is (B) x=-25

To explain I would say: Comparing equation with y^2=-4ax.

4a=100 => a=25. Line PASSING through focus perpendicular to axis is latus RECTUM.

Equation of latus rectum is x=-a => x=-25.



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