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 \(\alpha\).

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