Question

An ellipse is the set of all points in the plane for which the…………..of the distances from two fixed points $F_1$ and $F_2$is constant. The points $F_1$and $F_2$ are called the……………. of the ellipse.

Short answer

sum ,foci

Step-by-step solution

Step 1. Given information.

The distance from two fixed points is constant.

Step 2. The set of all points in the plane for which the distances from the two fixed point is constant and these points are.

An ellipse is an oval curve that looks like an elongated circle, whose two fixed points have a sum constant.

It is formed by a plane section of the right circular cone.

We know that an ellipse is the set of all points in a plane whose sum from two fixed points, called the focus, is constant.

The mid-point of the two focuses is the center of an ellipse.