Circle through a point with given intercept to a fixed line

Download Geometry Expressions File

We set the fixed point at the origin and the given line to be Y=b. The locus of the center of the circle is a parabola

By adding a parabola with the same equation we can determine the focus and vertex.

Expressions

Name Input
Locus of Center Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Point F Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Point G Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image