Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.4 - Rotation of Axes - Exercise Set - Page 1011: 55


makes sense

Work Step by Step

This statement makes sense because the equation gives $A=C=0, B=2$. Thus $cot2\theta=\frac{A-C}{B}=0$ and $\theta=45^\circ$ which gives the rotation angle. Also, as $B^2-4AC=4\gt0$, we can identify the equation as a hyperbola.
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