Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.2 - The Hyperbola - Exercise Set - Page 984: 88



Work Step by Step

False. It is possible that two different hyperbolas have the same asymptotes. For example: $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and $\frac{y^2}{b^2}-\frac{x^2}{a^2}=1$. Another example: $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and $\frac{x^2}{ka^2}-\frac{y^2}{kb^2}=1$
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