JEEometry

Geometry Level 3

Normals are drawn from the point PP with slopes m1,m2,m3m_{1},m_{2},m_{3} to the parabola y²=4xy² = 4 x . If locus of PP with m1m2=αm_{1}m_{2}= \alpha is a part of parabola itself, find the value of α\alpha.

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