Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersDe Moivre's theorem and Roots of unity
MediumIf ${z_1}, {z_2}, {z_3}, ......, {z_n}$ are the $n^{th}$ roots of unity,then for $k = 1, 2, ....., n-1$:
- A$|{z_k}| = k|{z_{k + 1}}|$
- B$|{z_{k + 1}}| = k|{z_k}|$
- C$|{z_{k + 1}}| = |{z_k}| + |{z_{k + 1}}|$
- D$|{z_k}| = |{z_{k + 1}}|$
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