Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.1 - The Ellipse - Exercise Set - Page 966: 11


See graph and explanations.

Work Step by Step

Step 1. Rewrite the equation as $x^2+4y^2=1$, we can identify $a^2=1, b^2=\frac{1}{4}$; thus $c=\sqrt {a^2-b^2}=\frac{\sqrt 3}{2}$. The ellipse is centered at $(0,0)$ with a horizontal major axis. Step 2. We can graph the equation as shown in the figure, and the foci can be located at $(\pm\frac{\sqrt 3}{2},0)$
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