### Polar equations of conics

(6 problems) Q:1 write a polar equation of a conic with the focus at the origin and the given data. 1.Parabola, directrix x=4 2.Hyperbola, eccentricity 2, directrix y = -2 3.Ellipse, eccentricity 0.8, vertex (1, ∏/2) Q:2 (a)find the eccentricity,(b)identify the conic,(c)give an equation of the directrix, and (d)sket