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Complex Numbers

JEE Main 2024 (Online) 9th April Morning Shift

INTEGER+4 / -12024

The sum of the square of the modulus of the elements in the set \(\{z=\mathrm{a}+\mathrm{ib}: \mathrm{a}, \mathrm{b} \in \mathbf{Z}, z \in \mathbf{C},|z-1| \leq 1,|z-5| \leq|z-5 \mathrm{i}|\}\) is __________.

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