Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.3 - Conics - 4.3 Exercises - Page 340: 85


False. It represents a hyperbola.

Work Step by Step

Standard form of a circle with center at the origin: $x^2+y^2=r^2$, in which $r$ is the radius. Standard form of a hyperbola with center at the origin and horizontal transverse axis: $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1~~$ It can be written as: $x^2-\frac{a^2}{b^2}y^2=a^2$ This last form is the form of the given equation, in which $a=b=12$.
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