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Study Guide for Stewart's Multivar...

8th Edition
Stewart + 1 other
ISBN: 9781305271845

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BuyFindarrow_forward

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:

  1. a) r = 21 1 + 3 cos θ
  2. b) r = 21 1 3 cos θ
  3. c) r = 21 1 + 3 sin θ
  4. 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+3cosθ, b) r=2113cosθ, c) r=211+3sinθ and d) r=2113sinθ.

Calculation:

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

The polar equation of a conic with the directrix x=d is given by, r=ed1ecosθ

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