The system of equations \( \left\{\begin{array}{c}|z+1-i|=2 \\ \operatorname{Re}(z) \geq 1\end{a...

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The system of equations \( \left\{\begin{array}{c}|z+1-i|=2 \\ \operatorname{Re}(z) \geq 1\end{array}\right\} \), where \( z \) is a complex number has
(A) no solution
(B) two distinct solutions
(C) exactly one solution
(D) infinite solutions
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