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.
Hyperbola, eccentricity , directrix
The polar equation of a hyperbola.
The eccentricity and directrix of the hyperbola is as follows.
Since the directrix is , it is to the left of the focus. Thus the polar equation of hyperbola is …
Substituting for and for in equation as follows.
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