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Find the equation of directrix of parabola y^2=-100x.(a) x=25(b) x=-25(c) y=-25(d) y=25The question was asked during an online exam.My question is based upon Conic Sections in portion Conic Sections of Mathematics – Class 11

Answer»

Correct answer is (a) x=25

For explanation I WOULD SAY: Comparing EQUATION with y^2=-4ax.

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 x=a => x=25.



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