   Chapter 10, Problem 9RCC

Chapter
Section
Textbook Problem

# (a) What is the eccentricity of a conic section? (b) What can you say about the eccentricity if the conic section is an ellipse? A hyperbola? A parabola? (c) Write a polar equation for a conic section with eccentricity e and directrix x = d. What if the directrix is x = −d? y = d? y = −d?

(a)

To determine

To find: The eccentricity of a conic section.

Explanation

Write the definition of eccentricity of a conic section.

The eccentricity of a conic section is the fixed ratio of |PF|<

(b)

To determine

To find: The eccentricity limit for the conic section.

(c)

To determine

To find: The polar equation for the conic section with eccentricity and directrix.

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