A= |z 1|=2 Re(z)

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if |Z1| =|Z2|=......=|Zn|=1 prove that |Z1 + Z2 + Z3 +.....+Zn | = | 1/Z1 +1Z2 +1/Z3 + .....+1/Zn l

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Let z be a complex number such that |z+2|=1 and Im(z+1/z+2)=1/5. Then the value of |Re(z+2)| is ?

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