Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 317: 17

Answer

The locus is the perpendicular bisector of diameter PR.

Work Step by Step

Recall, a locus is equidistant from the circle no matter where you are. Therefore, first construct the original circle and its diameter. Then, draw a line (which is red in the diagram) that is the midpoint of all of the chords, which are dashed black lines in the diagram.
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