   Chapter 7.1, Problem 1E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Note: Exercises preceded by an asterisk are of a more challenging nature.In the figure, which of the points A ,   B ,   C ,   D , and E belong to “the locus of points in the plane that are at distance r from point P ”? To determine

To find:

The locus points that are in the plane at a distance of r from point P from the given figure.

Explanation

Definition:

A locus is set of all points and only those points that satisfy a given set of conditions.

It must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

From the given figure,

We find that dashed line is the locus of a circle of radius r

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