If two tangents drawn from a point P to the parabola

Question:

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 :-

  1. x = 1

  2. 2x + 1 = 0

  3. x = –1

  4. 2x – 1 = 0


Correct Option: , 3

Solution:

Locus of point of intersection of perpendicular tangent is directrix of the parabola. so $\mathrm{x}=-1$

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