If \( n \geq 3 \) and \( 1, \alpha_{1}, \alpha_{2}, \ldots \alpha_{...

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If \( n \geq 3 \) and \( 1, \alpha_{1}, \alpha_{2}, \ldots \alpha_{n-1} \) are \( n \)th roots of unity then value of \( \sum_{1 \leq ij \leq n-1} \alpha_{i} \alpha_{j} \) is
(a) 0
(b) 1
(c) \( -1 \)
(d) \( (-1)^{n} \)
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