Locus of Intersections of Tangents at the End of Chords through a Fixed Point in an Ellipse

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Given a point D in an ellipse, draw a chord through D. Find the intersection of the the tangents at the end of the chord. The locus of all such intersections is a line.

Expressions

Name Input
Locus Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image