If \( n \) is a positive integer greater than unity and \( z \) is a complex number satisfying t...

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If \( n \) is a positive integer greater than unity and \( z \) is a complex number satisfying the equation \( z^{n}=(z+1)^{n} \), then
(A) \( \operatorname{Re}(z)0 \)
(B) \( \operatorname{Re}(z)0 \)
(C) \( \operatorname{Re}(z)=0 \)
(D) none of these
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