Question

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

• A. $x+2=0$
• B. $x+4=0$
• C. $x+1=0$
• D. $x+3=0$

Answer 1

The correct option is C $x+1=0$

From directrix of parabola perpendicular tangent are drawn.
and directrix of parabola $y^2=16(x–3)$ is $x=–1$
$\therefore$ Required locus is $x+1=0$