There is a rule for eccentricity. e > 1 tells you it is what sort of conic? Hint: You're going to need another focus and directrix.
Conics look like this in polar coordinates: parallel to the polar axis, or
perpendicular to the polar axis.
You have e = 3/2 -- Alarm goes off! This is a hyperbola.
If you mean , then we have a horizontal line. (Pretty obvious that this tranlsates to y = 1?). Okay, what form is that?
We are so close...
Note: Is that enough information for uniqueness?