JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\alpha \;

and

\beta

are the roots of the equation

{x^2} - x + 1 = 0

then

{\alpha ^{2009}} + {\beta ^{2009}}

is equal to

View answer and explanation

Correct option: C

Option C (1) is correct because the roots are complex cube roots of unity, and substituting these values into the expression

{\alpha ^{2009}} + {\beta ^{2009}}

simplifies to 1.

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