   Chapter 10.6, Problem 36E

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 DirectrixEllipse e = 5 6 y = − 2

To determine

To calculate: The polar equation for the ellipse having its focus at the pole and the eccentricity e=56 and the equation of directrix y=2.

Explanation

Given:

The conic is ellipse having

The eccentricity is e=56.

And the equation of directrix is y=2.

Formula used:

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

r=ed1esinθ

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

The standard equation of directrix is y=d.

Calculation:

The equation for directrix is y=2

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