Answer
The equation:
$$x^2-y^2=1$$
Represents a hyperbola.
Work Step by Step
The equation:
$$x^2-y^2=1$$
Has the form $$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$ which represents a hyperbola.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 10 - Analytic Geometry - 10.4 Summary of the Conic Sections - 10.4 Exercises - Page 996: 16
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