If ${z_1}, {z_2}, {z_3}, ......, {z_n}$ 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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DifficultJEE MAIN 2022
View SolutionLet $\alpha$ and $\beta$ be the roots of $x^2 + \omega x + \omega^2 = 0$,where $\omega$ is an imaginary cube root of unity. If $z = \alpha^9 + i\beta^9$,then the value of $|z|$ is:
If $(1 + i\sqrt{3})^9 = a + ib$,then $b$ is equal to
Medium
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