   Chapter 10.6, Problem 38E

Chapter
Section
Textbook Problem

# Finding a Polar Equation In Exercises 33-38, Find a polar equation for the conic with its focus at the pole and the giveneccentricity and directrix, (For convenience, the equation for the directrix is given in rectangular form)Conic Eccentricity DirectrixHyperbola e = 3 2 x = − 1

To determine

To calculate: The polar equation for the hyperbola having its focus at the pole and the eccentricity e=32 and the equation of directrix is x=1.

Explanation

Given:

The conic is hyperbola having

The eccentricity is e=32.

And the equation of directrix is x=1.

Formula used:

The polar form of the equation for the hyperbola having its focus at the pole is:

r=ed1ecosθ

Here e is the eccentricity and d is the distance from the focus and its directrix.

The standard equation of directrix is d=x.

Calculation:

The equation for directrix is x=1

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