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The locus of the intersection point of two perpendicular tangents to a given ellipse

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edited Apr 18, 2011 at 4:47

geometry conic-sections

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edited Apr 18, 2011 at 0:28

What points have The locus of two perpendicular tangents to a given ellipse?

For a given ellipse, find the locus of all points P for which the two tangents are perpendicular.

I have a trigonometric proof that the locus is a circle, but but I'd like a pure (synthetic) geometry proof.

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edited Apr 17, 2011 at 20:56

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asked Apr 17, 2011 at 19:51

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