Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 7 - Review Exercises - Page 348: 16

Answer

The locus is the interior of a sphere of radius 3 units that is centered on the given point.

Work Step by Step

While this figure is fairly hard to draw, it is not too difficult to describe. Recall, a locus to the point is the same distance away from the plane at all points. Thus, there are infinite spheres of radius under 3 cm that are centered on the point that are solutions to this problem. Combining all of these points, we find that the locus is the interior of a sphere of radius 3 units that is centered on the given point.
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