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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
If α\alpha and β\beta are the roots of the equation x2−x+1=0x^2-x+1=0, α2009+β2009\alpha^{2009}+\beta^{2009} is equal to
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Correct option: B
1
Option B (1) is correct because the expression simplifies to 1 using the properties of the roots of the given quadratic equation.

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