Locus of Centers of Circles Tangent to a Parabola and Internally Tangent to a Ci

2019-05-31 03:07
This applet demonstrates how to find the locus equation of the centers of all circles that are tangent to a given parabola and internally tangent to a given circle. Using GeoGebra's geometric construction tools, it constructs the parabola, lines, circles, and their intersections. By combining algebraic equations and geometric locus tracking, it visually displays the path of the moving circle's cen