Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.4 Circles - F.4 Assess Your Understanding - Page 38: 3

Answer

False

Work Step by Step

The given equation becomes in the form of $(x-h)^2+(y-k)^2=d$ when we complete the square. When $d \gt 0$; it shows an equation of a circle. When $d \lt 0$; the equations does not have a solution so there is no graph, When $d = 0$; the graph will be a point, $(h,k)$ Thus, the given statement is false.
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