If |z-4/z|=2, then the maximum value of |z| is ? jee test series complex numbers

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complex numbers
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Sir kindly clear the doubt that how we come to know that we have to use which inequality
If we use less than inequality then didn't get the ans
M so confused between these inequalities
Plzz make us clear

pmehrok
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sir less than equal to wali inequality kyu nahi lagayi

gussa