JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

The value of

\left( {2 - \omega } \right)\left( {2 - {\omega ^2}} \right)\left( {2 - {\omega ^{10}}} \right)\left( {2 - {\omega ^{11}}} \right)

, where

\omega

is the complex cube root of unity, is

View answer and explanation

Correct option: A

Option A (49) is correct because by using the property that

\omega^3 = 1

and

1 + \omega + \omega^2 = 0

, the expression simplifies to 49.

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