If \( z_{1}, z_{2}, \ldots, z_{n} \) lie on \( |z|=r \) and \( \ope...

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If \( z_{1}, z_{2}, \ldots, z_{n} \) lie on \( |z|=r \) and \( \operatorname{Re}\left(\sum_{j=1}^{n} \sum_{k=1}^{n} \frac{z_{j}}{z_{k}}\right)=0 \), then
(a) \( \sum_{j=1}^{n} z_{j}=0 \)
(b) \( \left|\sum_{j=1}^{n} z_{j}\right|=0 \)
(c) \( \sum_{j=1}^{n} \frac{1}{z_{j}}=0 \)
(d) none of these
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