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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1
If a,ba, b and cc are distinct integers and ω(≠1)\omega(\neq 1) is aa cube root of unity, then the minimum value of ∣a+bω+cω2∣+∣a+bω2+cω∣\left|a+b \omega+c \omega^2\right|+\left|a+b \omega^2+c \omega\right|, is
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Correct option: A
232 \sqrt{3}
Option A (232 \sqrt{3}) is correct because by using properties of cube root of unity and modulus, the minimum value of the expression can be found.

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