JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

The minimum value of

\left| {a + b\omega + c{\omega ^2}} \right|

, where

a,\;b

and

c

are all not equal integers and

\omega \left( { \ne 1} \right)

is a cube root of unity, is

View answer and explanation

Correct option: C

Option C (1) is correct because the minimum value of the expression is 1 when a, b, and c are distinct integers.

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