geometry
posted by xavier on .
A moving point is always equidistant from (3,2) and the line 2xy+2=0. What is the equation of its locus?
how do you solve this?

Sounds like the definition of a parabola: The locus of points equidistant from a point (the focus) and a line (the directrix). It will be a tilted parabola.
Good luck. Good exercise for you.