Locus of Intersections of Tangents of Given Angle

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The locus of the intersection of tangents of given angles can be seen from the equation to be a hyperbola.

Creating a hyperbola and constraining its equation to be that of the locus allows us to examine its foci. One is found to be the same as the focus of the original parabola.

Expressions

Name Input
Focus 1 Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Focus 2 Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image