Complex Number Modulus Sum (Jee Mains)

Geometry and Locus of Complex Numbers

Medium

Complex Number Modulus Sum

Let $S = \left\{ {z \in {\Bbb C}:\left| {\frac{{z - 6i}}{{z - 2i}}} \right| = 1\,and\left| {\frac{{z - 8 + 2i}}{{z + 2i}}} \right| = \frac{3}{5}} \right\}$
Then $\sum\limits_{z \in s} {{{\left| z \right|}^2}}$ is equal to

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