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

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