For any two complex numbers \( z_{1} \) and \( z_{2} \), \[ \left|z...
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For any two complex numbers \( z_{1} \) and \( z_{2} \),
\[
\left|z_{1}-z_{2}\right| \geq\left\{\begin{array}{l}
\left|z_{1}\right|-\left|z_{2}\right| \\
\left|z_{2}\right|-\left|z_{1}\right|
\end{array}\right.
\]
P
and equality holds iff origin \( z_{1} \) and \( z_{2} \) are collinear and \( z_{1}, z_{2} \) lie on the same side of the origin.
If \( \left|z-\frac{1}{z}\right|=2 \) and sum of greatest and least values of \( |z| \) is \( \lambda \), then \( \lambda^{2} \), is
(a) 2
(b) 4
(c) 6
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