Locus of (x,y) which is at distance 5 from C (-2,3) will be a circle with C as center and radius 5.
distance between P(x,y) and C(-2,3) is
SQUAREROOT [ (x+2)² + (y-3)² ] = 5
Now square on both sides (x+2)² + (y-3)² = 25 this is the answer
OR, we can expand the above : x² +4x + y² -6y -12 = 0