The value of $|z|^2+|z-3|^2+|z-i|^2$ is minimum when $z$ equals

The value of $|z|^2+|z-3|^2+|z-i|^2$ is minimum when $z$ equals
  1. $2-\frac{2}{3} i$
  2. $45+3 i$
  3. $1+\frac{1}{3} i$
  4. $1-\frac{1}{3} i$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2020 (07 Oct Special)

Practice more Complex Number questions on Aicharya