   Chapter 10.6, Problem 22E

Chapter
Section
Textbook Problem

# Show that a conic with focus at the origin, eccentricity e, and directrix y = d has polar equation r = e d 1 + e sin θ

To determine

To find: Show the conic with focus at the origin, eccentricity and directrix.

Explanation

Given:

The given polar equation is r=ed1+esinθ for y=d

Calculation:

(a)

Draw the conic for the given polar equation as shown in figure (1).

Show the conic with focus, origin and eccentricity.

|PF|=e|Pl|e=|PF||Pl|

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