# 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 $$\alpha$$.

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