JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

Let

\alpha

and

\beta

be the roots of the equation

{x^2} + x + 1 = 0.

The equation whose roots are

{\alpha ^{19}},{\beta ^7}

View answer and explanation

Correct option: D

{x^2} + x + 1 = 0

The correct answer is D (

{x^2} + x + 1 = 0

) because

{\alpha ^{19}}

and

{\beta ^7}

simplify to

\omega

and

{\omega ^2}

respectively, which are the roots of the given equation.

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