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Bisector of Foci Angle (Posted on 2015-08-05) Difficulty: 3 of 5

Let A and B be points on an ellipse Γ such that
the line AB does not pass through the center of Γ.
Let C be the intersection of the tangent line to Γ
at point A with the tangent line to Γ at point B.

Prove that line CF bisects ∠AFB ( where F is
either one of the foci of Γ ).

See The Solution Submitted by Bractals    
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