Question

What term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?

Answer 1

Hello there.

What term best describes the set of all points in a plane for which the sum of the distances to two fixed points equals a certain constant?

ellipse

Answer 2

You are referring to an ELLIPSE.

In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. As such, it is a generalization of a circle, which is a special type of an ellipsehaving both focal points at the same location.