Q. If two tangents drawn from a point $P$ to the parabola $y^{2} = 4x$ are at right angles, then the locus of $P$ is
A) $x = 1$
B) $2x + 1 = 0$
C) $x = - 1$
D) $2x - 1 = 0$
Explanation
(c)
We know that the locus of point $P$ from which two perpendicular tangents are drawn to the parabola, is the directrix of the parabola.
Hence, the required locus is $x = 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.