Locus of Conic Sections: Center of Circle Tangent to a Fixed Circle and Passing

This GeoGebra applet demonstrates the geometric definition and locus generation of conic sections. By constructing a moving circle that passes through a fixed point A and is tangent to a fixed circle, it explores the trajectory of its center. When point A is inside the fixed circle, the locus of the moving circle's center forms an ellipse; when point A is outside, the locus forms a hyperbola. This