JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\omega(\neq 1)

is a cube root of unity and

(1+\omega)^{2017}=

A+B \omega

. Then

A

and

B

are respectively the numbers

View answer and explanation

Correct option: B

1,1

Option B (1,1) is correct because

(1+\omega)^{2017}

simplifies to

-\omega^2

, which can be rewritten as

1 + \omega

, thus A=1 and B=1.

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