Tangent Intersection

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We find the intersection of two tangents to a parabola.

As the x-coordinate of E is the same as the midpoint of C and D, we see that the median of the triangle ECD is parallel with the y-axis, which is the axis of symmetry of the ellipse.

Expressions

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