If \( z_{1}, z_{2} \) be two nth roots of unity such that they repr...

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If \( z_{1}, z_{2} \) be two nth roots of unity such that they represent two points \( A, B \) in the Argand plane where \( \angle A O B=60^{\circ} \) and \( O \) is the origin than the positive integer \( n \) is of the form
(a) \( 4 \mathrm{k}, \mathrm{k} \in \mathrm{N} \)
(b) \( 4 \mathrm{k}+3, \in \mathrm{EN} \)
(c) \( 6 \mathrm{k}, \mathrm{k} \in \mathrm{N} \)
(d) \( 6 k+5, K \in N \)
\( \mathrm{P} \)
W.
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