Complex Number Intersection Sum (Jee Mains)

Geometry and Locus of Complex Numbers

Hard

Complex Number Intersection Sum

Let A = {z ∈ C : |z – 2 – i| = 3},
B = {z ∈ C : Re (z – iz) = 2} and S = A ∩ B. Then $\sum\limits_{z \in S}^{} {{{\left| z \right|}^2}}$ is equal to ____.

Ask about this question