If α, β ∈ C are the distinct roots of the equation x^2 - x + 1 = 0, then α^101 + β^107 is equal to

If α, β ∈ C are the distinct roots of the equation x^2 - x… — JEE Main 2018 Mathematics PYQ

JEE Main 2018

\alpha, \beta \in \mathbb{C}

are the distinct roots of the equation

x^2 - x + 1 = 0

, then

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

is equal to

Show answer

Correct option: C

[JEE Main 2018]

Practise Complex Numbers and Quadratic Equations the way it is asked

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