If \( \left|z-\frac{4}{z}\right|=2 \), the maximum value of \( |z| ...

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If \( \left|z-\frac{4}{z}\right|=2 \), the maximum value of \( |z| \) is equal to
[AIEEE 2009, 4M]
P
(a) \( 2+\sqrt{2} \)
(b) \( \sqrt{3}+1 \)
W
(c) \( \sqrt{5}+1 \)
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