## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 9 - Section 9.6 - Conic Sections in Polar Coordinates - Exercise Set - Page 1030: 3

#### Answer

a. ellipse. b. $x=-3$

#### Work Step by Step

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

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