$\"\"$

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The equation is $\"\"$ .

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Rewrite the equation as $\"\"$ .

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$\"\"$ .

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The curve represents the ellipse.

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Here $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Eccentricity:

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Polar equation of the ellipse with the horizontal major axis is

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$\"\"$ .

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Focal parameter of the hyperbola is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in the above formula.

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$\"\"$

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$\"\"$

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Polar equation of the curve is $\"\"$ .