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If |z-4/z|=2 then the greatest value of ...

If `|z-4/z|=2` then the greatest value of `|z|` is (A) `sqrt(5)-1` (B) `sqrt(5)+1` (C) `sqrt(5)` (D) 2

A

`sqrt(5)-1`

B

`sqrt(3)+1`

C

`sqrt(5)+1`

D

`sqrt(3)-1`

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