   Chapter 10.6, Problem 47E

Chapter
Section
Textbook Problem

# Finding a Polar Equation In Exercises 33–44, find a polar equation for the conic with its focus at the pole. (For convenience, the equation for the directrix is given in rectangular form.)Conic Eccentricity DirectrixEccentricity Classify the conics by their eccentricities.

To determine

The classification of the conics done with the help of eccentricities.

Explanation

Consider the formula for eccentricity,

e=ca

The eccentricity is the fraction of the distance along the semi major axis at which the focus lies. The conics are classified according to the value of the eccentricity, as given below,

For e=0, the conic is a circle

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