jee-main 2018 Q62

jee-main · India · 08apr Complex Numbers Arithmetic Roots of Unity and Cyclotomic Expressions

If $\alpha , \beta \in C$ are the distinct roots of the equation $x ^ { 2 } - x + 1 = 0$, then $\alpha ^ { 101 } + \beta ^ { 107 }$ is equal to
(1) 2
(2) - 1
(3) 0
(4) 1

If $\alpha , \beta \in C$ are the distinct roots of the equation $x ^ { 2 } - x + 1 = 0$, then $\alpha ^ { 101 } + \beta ^ { 107 }$ is equal to\\
(1) 2\\
(2) - 1\\
(3) 0\\
(4) 1

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