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Find a polar equation of the conic with its focus at the pole.

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Find a polar equation of the conic with its focus at the pole.

Conic                                   Eccentricity                             Directrix

Ellipse                                   e = 1/2                                     y = 1
asked Feb 11, 2015 in TRIGONOMETRY by anonymous

1 Answer

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Step 1:

The eccentricity is image and directrix is image.

The directrix is horizontal and above the pole, then the polar equation of the conic is image.

The distance between pole and directrix is image

Now substitute image and image in the polar equation image.

image

Solution :

The polar equation of the conic is image.

answered Feb 11, 2015 by joseph Apprentice

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