Answer
hyperbola.
Work Step by Step
1. The general form of a conic is given by $Ax^2+Bxy+Cy^2+Dx+Ey+F=0$
2. Compare with the given equation, we have $A=4, B=10, C=4$
3. As $B^2-4AC\gt0$, the equation defines a hyperbola.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 9 - Analytic Geometry - Cumulative Review - Review Exercises - Page 719: 22
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