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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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If z1,z2,z3,…,zn{z_1},{z_2},{z_3}, \ldots ,{z_n} are nn nth roots of unity, then for k=1,2,…,nk = 1,2, \ldots ,n
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Correct option: D
∣zk∣=∣zk+1∣\left| {{z_k}} \right| = \left| {{z_{k + 1}}} \right|
Option D (∣zk∣=∣zk+1∣\left| {{z_k}} \right| = \left| {{z_{k + 1}}} \right|) is correct because all nth roots of unity lie on the unit circle, hence their magnitudes are equal to 1.

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