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JEE Math Practice Question

If $$\alpha $$ and $$\beta $$ are the roots of the equation $${x^2} - x + 1 = 0,$$ then $${\alpha ^{2009}} + {\beta ^{2009}} = $$

  1. A.$$\, - 1$$
  2. B.$$\, 1$$
  3. C.$$\, 2$$
  4. D.$$\, - 2$$

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