If \( z_{1}, z_{2} \) and \( z_{3} \) are three points lying on the circle \( |z|=2 \) then mini...

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If \( z_{1}, z_{2} \) and \( z_{3} \) are three points lying on the circle \( |z|=2 \) then minimum value of \( \left|z_{1}+z_{2}\right|^{2}+\left|z_{2}+z_{3}\right|^{2}+\left|z_{3}+z_{1}\right|^{2} \) is
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