JEE Main 2010Annual, Paper 1MathematicsEasyComplex Numbers and Quadratic Equations264× since 2002If α\alphaα and β\betaβ are the roots of the equation x2−x+1=0,{x^2} - x + 1 = 0,x2−x+1=0, then α2009+β2009={\alpha ^{2009}} + {\beta ^{2009}} =α2009+β2009=AOption A. −1\, - 1−1BOption B. 1\, 11COption C. 2\, 22DOption D. −2\, - 2−2CheckSkip · show solution