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If \(|z+i|-|z-1|=|z|-2=0\) for a complex number \(z\), then \(z=\)
(A) \(\sqrt{2}(1+i)\)
(B) \(\sqrt{2}(1-i)\)
(C) \(\sqrt{2}(-1+i)\)
(D) \(\sqrt{2}(-1-i)\)
Ans: (B,C)

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