If \( z = x+iy \) and the point \( P \) denotes \( z \) in the Argand plane, then the locus of \( P \) satisfying the condition \( \text{Im}\left(\frac{z-3i}{z+2}\right) = 1, z \neq -2 \) is:
Show Hint
For \( \text{Im}\left(\frac{z-z_1}{z-z_2}\right) = k \), if \( k \neq 0 \), the locus is always a circle. If \( k=0 \), the locus is a straight line. Here, \( k=1 \), so look for the equation representing a circle.