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 - Concept and Vocabulary Check - Page 1030: 3


$3$, $hyperbola$, $1$, $perpendicular$, $1$, $right$.

Work Step by Step

Comparing the given equation $r=\frac{3}{1+3cos\theta}$ with the standard forms (a), we can identify that $e=3$, so this is the equation of a $hyperbola$. We see that $ep=3, p=1$, so the directrix is $perpendicular$ to the polar axis at a distance of $1$ unit to the $right$ of the pole.
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