Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.6 - Conic Sections in Polar Coordinates - Exercise Set - Page 1030: 8


a. hyperbola. b. $x=3$

Work Step by Step

a. Rewrite the given equation as $r=\frac{6}{1+2cos\theta}$ and compare with the standard form. We have $e=2, ep=6, p=3$, and we can identify the conic section as a hyperbola. b. We can identify the location of the directrix as $x=3$ or $3$ units to the right of the pole.
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