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Complex Numbers question

2025 · 4 Apr · Shift 1 · Q50

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JEE Main
Mathematics
Complex Numbers
2025 · 4 Apr · Shift 1 · Q50

Complex Numbers question

2025 · 4 Apr · Shift 1 · Q50

JEE MainMathematicsComplex NumbersNumerical+4 / −1

Let

\mathrm{A}=\{z \in \mathrm{C}:|z-2-i|=3\}, \mathrm{B}=\{z \in \mathrm{C}: \operatorname{Re}(z-i z)=2\}

and

\mathrm{S}=\mathrm{A} \cap \mathrm{B}

. Then

\sum_{z \in S}|z|^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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