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If \( z_{1}+z_{2}+z_{3}+z_{4}=0 \), then the expression \( \left|z_{1}-z_{2}\right|^{2} \) \( +\left|z_{2}-z_{3}\right|^{2}+\left|z_{3}-z_{4}\right|^{2}+\left|z_{4}-z_{1}\right|^{2}-2\left(\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2}+\left|z_{3}\right|^{2}\right. \)
\( +\left|z_{4}\right|^{2} \) ) is equal to 0 , if and only if,
(a) \( z_{1}=-z_{3} \) and \( z_{4}=-z_{2} \)
(b) \( z_{1}=-z_{4} \) and \( z_{2}=-z_{3} \)
(c) \( z_{1}=z_{2} \) and \( z_{3}=z_{4} \)
(d) \( z_{1}=z_{3} \) and \( z_{2}=z_{4} \)
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