If two tangents drawn from a point

Question:

If two tangents drawn from a point $P$ to the parabola $\mathrm{y}^{2}=16(\mathrm{x}-3)$ are at right angles, then the locus of point $\mathrm{P}$ is :

  1. $x+3=0$

  2. $x+1=0$

  3. $x+2=0$

  4. $x+4=0$


Correct Option: , 2

Solution:

Locus is directrix of parabola

$x-3+4=0 \Rightarrow x+1=0$

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