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If z1,z2,z3………..zn are n complex numbers...

If `z_1,z_2,z_3………..z_n` are n complex numbers s.t, `abs(z_1)=abs(z_2)=………….abs(z_n)=1` then show that `abs(z_1+z_2+…….+z_n)=abs((1/z_1)+(1/z_2)+…..+(1/z_n))`

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