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Let z1 and z2 be nth roots of unity which subtend a right angle at origin ,then prove that n must be of the form 4K

Suraj Kumar , 5 Years ago
Grade
anser 1 Answers
Vikas TU

Last Activity: 5 Years ago

Dear student 
Zn -1 = 0 
Z = 11/n
Z1 = et2*pie/n 
Z2 = et2*pie/n 
Q1 = 2*pie*k / n 
Q2 = 2*pie(k+1)/n 
Q2 – Q1 = pie/2
2pie/n (K+1-k) = pie/2
n =4k 
 

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