# geometry

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A moving point is always equidistant from (-3,2) and the line 2x-y+2=0. What is the equation of its locus?

how do you solve this?

• geometry -

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.

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