   Chapter 12.2, Problem 1E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# CONCEPTSAn 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.

To determine

To fill:

Explanation

Given:

An ellipse is the set of all points in the plane for which the __________ of the distances from two fixed points F1 and F2 is constant. The points F1 and F2 are called the ___________ of the ellipse.

Approach:

The geometric definition of an ellipse is as follow,

An ellipse is the set of all points in the plane the sum of whose distances from two fixed points F1 and F2 is the constant. These two fixed points are the foci of the ellipse. For clear view of point see the figure below.

Figure (1)

Apply the above statement to fill the blanks as follows,

An ellipse is the set of all points in the plane for which the

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