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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                                          Vertex or Vertices

Ellipse                                          (2, 0),  (10, π)
asked Feb 11, 2015 in TRIGONOMETRY by anonymous

1 Answer

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Step 1:

The vertices of the ellipse is image and image.

In polar form, the equation of an ellipse with a focus at origin is .

Substitute image in the above polar equation.

image

Substitute image in the above polar equation.

image

Step 2:

Divide equation (2) by equation (1).

image

Substitute image in equation (1).

image

Step 3:

Substitute image and image in .

image

Solution :

The polar equation of the ellipse is image.

answered Feb 16, 2015 by yamin_math Mentor

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