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Question

Mathematics Question on Conic sections

If two tangents drawn from a point P to the parabola y2=4xy^2 = 4x are at right angles, then the locus of P is

A

2x+1=02x + 1 = 0

B

x=−1x = -1

C

2x−1=02x - 1 = 0

D

x=1x = 1

Answer

x=−1x = -1

Explanation

Solution

The locus of perpendicular tangents is directrix i.e, x=−a; x=−1x = -a; \,x = -1