Is the Locus circle?

100 Views Asked by At

Locus of points such that sum of it's distances of them from four fixed points remains constant? Is the locus circle? I was not able to solve it as there were four radicals. Is it a theorem?

1

There are 1 best solutions below

0
On

Is the locus a circle ?

In general, no. It is a multifocal ellipse. More information on this topic can be found here, along with a video showing how to actually draw one.