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|z1=|z2|=|z3|=|1/z1+1/z2+1/z3|=1 then |z1+z2+z3|=?

|z1=|z2|=|z3|=|1/z1+1/z2+1/z3|=1
then |z1+z2+z3|=?

Grade:9

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,

\\|1/z_1+1/z_2+1/z_3|=1 \\=>|\bar{z_1}/|z_1|^2+\bar{z_1}/|z_1|^2+\bar{z_1}/|z_1|^2|=1 \\=>|\sum \bar{z_1}/1|=1 \\=>|\sum z_1|=1

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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