Tangent Intersections with Asymptotes

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The area of the triangle whose vertices are the center of the hyperbola and the intersections of a tangent line with the asymptotes is constant.

We also observe that the point of contact of the tangent is midway between its intersections with the asymptotes.

Expressions

Name Input
Area of EFD Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
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