JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

1,\;\omega ,\;{\omega ^2}

are the cube roots of unity, then

\left( {1 - \omega + {\omega ^2}} \right)\left( {1 - {\omega ^2} + {\omega ^4}} \right)\left( {1 - {\omega ^4} + {\omega ^8}} \right)\left( {1 - {\omega ^8} + {\omega ^{16}}} \right)

upto

2n

factors is

View answer and explanation

Correct option: B

{2^{2n}}

Option B (

{2^{2n}}

) is correct because each pair of factors simplifies to 4, and there are n such pairs.

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