JEEometry

Geometry Level 3

Normals are drawn from the point $P$ with slopes $m_{1},m_{2},m_{3}$ to the parabola $y² = 4 x$ . If locus of $P$ with $m_{1}m_{2}= \alpha$ is a part of parabola itself, find the value of $\alpha$ .

JEEometry

This one is blast from past. Question is from IIT JEE 2003.