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A variable tangent to the parabola y^2 = 4ax meets the circle x^2 + y^2 = r^2 at P and Q. Prove that the locus of the midpoint of PQ is x( x^2 + y^2) +ay^2 = 0

A variable tangent to the parabola y^2 = 4ax meets the circle x^2 + y^2 = r^2 at P and Q. Prove that the locus of the midpoint of PQ is x( x^2 + y^2) +ay^2 = 0

Grade:11

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4407 Points
4 years ago
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