Axis Intersections of Ellipse Tangents

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If we intersect the tangent at parametric location t with the axes, we observe that each intersection is independent of one of the parameters of the ellipse. Hence the tangent axis intercept at equivalent parametric points on an entire family of ellipses is constant.

Expressions

Name Input
Y-intercept Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
X-intercept Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image