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Let z₁ and z₂ be nth roots of unity which subtend a right angle at the origin. Then n must be of the form

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Correct option is D

nth roots of unity are given by cos⁡2mπn+isin⁡2mπn=e2mπi/n for m=0,1,2,⋯,n−1Let z1=e2m1πi/n and z2=e2m2πi/nwhere 0≤m1,m2

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Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. Then n must be of the form

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Let z₁ and z₂ be nth roots of unity which subtend a right angle at the origin. Then n must be of the form