Chapter 10.6, Problem 2PT

### Study Guide for Stewart's Multivar...

8th Edition
Stewart + 1 other
ISBN: 9781305271845

Chapter
Section

### Study Guide for Stewart's Multivar...

8th Edition
Stewart + 1 other
ISBN: 9781305271845
Textbook Problem

# The polar equation of the conic with eccentricity 3 and directrix x = −7 is: a) r = 21 1 + 3 cos θ b) r = 21 1 − 3 cos θ c) r = 21 1 + 3 sin θ d) r = 21 1 − 3 sin θ

To determine

To identify: The correct option for the blank in the statement, “The polar equation of the conic with eccentricity 3 and directrix x=7 is ____”.

Explanation

Given:

The options are, a) r=211+3cosÎ¸, b) r=211âˆ’3cosÎ¸, c) r=211+3sinÎ¸ and d) r=211âˆ’3sinÎ¸.

Calculation:

Note that, the directrix x=âˆ’7 is of the form x=âˆ’d.

The polar equation of a conic with the directrix x=âˆ’d is given by, r=ed1âˆ’ecosÎ¸

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