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Complex Numbers question

2024 · 9 Apr · Shift 1 · Q57
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  5. /2024 · 9 Apr · Shift 1 · Q57

Complex Numbers question

2024 · 9 Apr · Shift 1 · Q57

JEE MainMathematicsComplex NumbersNumerical+4 / −1
The sum of the square of the modulus of the elements in the set {z=a+ib:a,b∈Z,z∈C,∣z−1∣≤1,∣z−5∣≤∣z−5i∣}\{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}|\}{z=a+ib:a,b∈Z,z∈C,∣z−1∣≤1,∣z−5∣≤∣z−5i∣} is ‾\underline{\hspace{2cm}}​.
Numerical answer
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