If \( \alpha, \beta \in \mathrm{C} \) are the distinct roots of the equation \( \mathrm{x}^{2}-\...

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If \( \alpha, \beta \in \mathrm{C} \) are the distinct roots of the equation \( \mathrm{x}^{2}-\mathrm{x}+ \) \( 1=0 \), then \( \alpha^{101}+\beta^{107} \) is equal to-
(1) 0
(2) 1
(3) 2
(4) \( -1 \)
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