Locus of Intersection of Tangent with Parallel Radius through the Center

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Take a chord in an ellipse and the tangent at one end. Then, take a line parallel to the chord from the center to the tangent. The locus of the intersections of this line and the tangent will a line, tangent to the ellipse at the opposite end of the ellipse from the other end of the chord.

Expressions

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