If two tangents drawn from a point P to the parabola y^2=16(x-3) are at right angles, then…

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

Accepted Answer

For $y^2=16(x-3)$ ($4A=16,A=4$, vertex $(3,0)$), the locus of points from which perpendicular tangents are drawn is the directrix: $x-3=-4\Rightarrow x=-1$, i.e. $x+1=0$.

Solutions · 1