# Equation of a circle

1. Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.

© BrainMass Inc. brainmass.com December 15, 2020, 3:03 pm ad1c9bdddfhttps://brainmass.com/math/geometry-and-topology/find-equation-circle-relationship-parabola-182857

#### Solution Summary

The solution finds the equation of a circle in relationship to a parabola.

$2.19