JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\alpha ,\;\beta

be the roots of the quadratic equation

{x^2} + x + 1 = 0

, then the equation whose roots are

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

View answer and explanation

Correct option: D

{x^2} + x + 1 = 0

Option D (

{x^2} + x + 1 = 0

) is correct because the roots of the new equation are

{\alpha ^{19}}

and

{\beta ^7}

, which simplify to

\omega

and

{\omega ^2}

, respectively, leading to the original equation.

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