﻿ Let z1 and z2 be nth roots of unity which subtend a right angle at the origin, then n must be on then form : Kaysons Education

# Let Z1 and Z2 be Nth Roots Of Unity Which Subtend A Right Angle At The Origin, Then N Must Be On Then Form

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## Question

### Solution

Correct option is

4k

The n, nth roots of unity are given by

where k1 and k2 are distinct integers from the set {0, 1, 2, 3, …n – 1}.

As z1 and z2 subtend a right angled at the origin, therefore,

So, n = 4 (a positive integer).

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