If $z=x+i y$ and if the point $P$ in the Argand diagram represents $z$, then the locus of the point $P$ satisfying the equation $2|z-2-3 i|=3|z+i-2|$ is a circle with centre

• A

  $(10,-21)$
• B

  $(-10,21)$
• Correct answer
  C

  $\left(2,-\frac{21}{5}\right)$
• D

  $\left(-2, \frac{21}{5}\right)$

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