Q37 / 90 · JEE Main 2010 · Mathematics

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

A
$2 x+1=0$
Correct answer
B
$x=-1$
C
$2 x-1=0$
D
$x=1$

Solution

The locus of perpendicular tangents is directrix $$ \text { i.e, } x=-a ; x=-1 $$

Hence, the correct answer is option: 'B'.

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