3-10 Finding a Polar Equation for a Conic Write a polar equation of a conic that has its focus at the origin and satisfies the given conditions.
Ellipse, eccentricity , directrix
The polar equation of an ellipse.
The eccentricity and directrix of the ellipse is as follows.
Convert the equation in Cartesian equation.
Since the directrix is , it is to the above to the focus. Thus the polar equation of ellipse is …
Substituting for and for in equation ,
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