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: 4

Answer

$1$, $parabola$, $2$, $parallel$, $2$, $below$.

Work Step by Step

Comparing the given equation $r=\frac{2}{1-sin\theta}$ with the standard form (d), we can identify that $e=1$, so this is the equation of a $parabola$. We see that $ep=2, p=2$, so the directrix is $parallel$ to the polar axis at a distance of $2$ units $below$ the pole.
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