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z1 and z2 be nth roots of unity which subtends righ angle at the origin then n must be of form.

z1 and z2 be nth roots of unity
which subtends righ angle at the origin then n must be of form.

Grade:9

1 Answers

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

\\arg{z_1 \over z_2}={ \pi \over 2} \\=>{z_1 \over z_2}=i \\=>({z_1 \over z_2})^n=i^n=1 \\=>n=4k
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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