Write a polar equation of a conic with the focus at the origin and the given data.

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Write a polar equation of a conic with the focus at the origin and the given data.
a. Ellipse, eccentricity ½, directrix x = 4
b. Parabola, directrix x = - 3
c. Hyperbola, eccentricity 1.5, directrix y = 2
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