JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

The common roots of the equations

{x^3} + 2{x^2} + 2x + 1 = 0

and

1 + {x^{2002}} + {x^{2003}} = 0

(where

\omega

is a complex cube root of unity)

View answer and explanation

Correct option: A

\omega ,{\omega ^2}

Option A (

\omega, \omega^2

) is correct because these are the common roots of both equations, where

\omega

is a complex cube root of unity.

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