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The normals at P,Q,R on the parabola y^2=4ax meet in a point on the line y=k. Prove that the sides of the triangle touch the parabola x^2-2ky=0.

The normals at P,Q,R on the parabola y^2=4ax meet in a point on the line y=k. Prove that the sides of the triangle touch the parabola x^2-2ky=0.

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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