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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1
If a,b,ca, b, c are integers, not all equal and ω(≠1)\omega(\neq 1) is a cube root of unity, then minimum value of ∣a+bω+cω2∣\left|a+b \omega+c \omega^2\right| is
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Correct option: B
1
Option B (1) is correct because the minimum value of the expression ∣a+bω+cω2∣\left|a+b \omega+c \omega^2\right| is 1 when a, b, and c are integers not all equal, and ω\omega is a cube root of unity.

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