Locus of Center of Segment of Tangent cut off by Two Fixed Tangents

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For a given ellipse, we take the tangents through a fixed point. We take the midpoint of the segment of a general tangent cut off by these tangents, and observe that the result is a hyperbola, whose axis passes through the center of the ellipse.


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