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Question

$1 comma alpha subscript 1 end subscript comma alpha subscript 2 end subscript comma alpha subscript 3 horizontal ellipsis horizontal ellipsis end subscript alpha subscript n minus 1 end subscript$ are the n^th roots of unity and n is an even natural number, then $open parentheses 1 plus alpha subscript 1 end subscript close parentheses open parentheses 1 plus alpha subscript 2 end subscript close parentheses open parentheses 1 plus alpha subscript 3 end subscript close parentheses horizontal ellipsis horizontal ellipsis open parentheses 1 plus alpha subscript n minus 1 end subscript close parentheses equals$

1
0
-1
2

The correct answer is: 0

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