Question

A hyperbola 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 hyperbola.

Short answer

Difference, Foci.

Step-by-step solution

Step 1. Given information.

The definition of the hyperbola with two blanks.

Step 2. what to fill in the blanks.

We will be using the definition of hyperbola to get the answer.

As we know,
A hyperbola is the set of all points in the plane, the difference of whose distances from two fixed points is a constant. These two fixed points are the foci of the hyperbola.
So the first blank will be filled with difference and the other one is foci.