If a complex number $z=x+i y$ represents a point $P$ on the Argand plane and $\operatorname{Arg}\left(\frac{z-3+2 i}{z+2-3 i}\right)=\frac{\pi}{4}$, then the locus of $P$ is a

• A

  circle with the line $\mathrm{x}+\mathrm{y}=12$ as its diameter
• B

  circle with radius $\sqrt{11}$
• C

  circle with the line $x-y=6$ as its diameter
• Correct answer
  D

  circle with radius 5

Hence, the correct answer is option: 'D'.