   Chapter 10, Problem 121RE

Chapter
Section
Textbook Problem

# Finding a Polar Equation In Exercises 119-122, find a polar equation Tor the conic with its focus at the pole and the Risen eccentricity and directrix. (For convenience, the equation for the directrix is given in rectangular form.)Conic Eccentricity DirectrixHyperbola e = 3 y = 3

To determine

To calculate: A polar equation of the hyperbola whose focus is at the pole, eccentricity is e=3 and directrix is y=3.

Explanation

Given:

The hyperbola has eccentricity e=3 and directrix y=3 and focus is at the pole.

Formula used:

The equation of a hyperbola, r=ed1+esinθ; where d is the focus and e is eccentricity.

Calculation:

A hyperbola with eccentricity e=3 and directrix y=3. Also, since the focus is at the pole so d=3. Here, the directrix is a line parallel to the x-axis

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