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?