Let \( A=\{z \in C: 1|\mathbf{z}-(1+i)|2\} \) and \( B=\{z \in A:|z-(1-i)|=1\} \). Then, \( B \)...

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Let \( A=\{z \in C: 1|\mathbf{z}-(1+i)|2\} \) and \( B=\{z \in A:|z-(1-i)|=1\} \).
Then, \( B \)
(a) is an empty set
(b) contains exactly two elements
(c) contains exactly three elements
(d) is an infinite set
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