What are locus of ellipses?

A locus of ellipses is like drawing many different oval shapes that all follow the same special rule.

Imagine you're playing a game with two friends who are holding ropes on either end of a playground. You're in the middle, holding one rope from each friend. As you move around, you keep both ropes taut, like you’re trying to stay connected to both friends at once. The path you make as you walk is an ellipse.

Now, imagine that game happens many times, but each time your friends stand a little closer or farther apart, or you use different length ropes. All those different paths you make are all ellipses, and together they form the locus of ellipses, it's like a family of oval shapes, each one just a bit different from its siblings.

Every time you play the rope game, you're following the same rule: the total length of both ropes stays the same. That’s why your path is always an ellipse, no matter where your friends stand or how long the ropes are. So, a locus of ellipses is just all those oval paths that follow this special rule, like different kinds of ovals from the same game!