If α,β C are the distinct roots of the equation x² - x + 1 = 0, then α ¹⁰¹ + β ¹⁰⁷ is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2018 Mathematics question

JEE Main 2018 · Session, Shift 1 · Q3233

JEE Main 2018Session, Shift 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

\alpha ,\beta \in C

are the distinct roots of the equation x² - x + 1 = 0, then

{\alpha ^{101}} + {\beta ^{107}}

is equal to :

JEE Main 2018 · Session, Shift 1 · Q3233

JEE Main 2018Session, Shift 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

\alpha ,\beta \in C

are the distinct roots of the equation x² - x + 1 = 0, then

{\alpha ^{101}} + {\beta ^{107}}

is equal to :