Let \omega\neq1 be a cube root of unity. Then the minimum of the set \{|a+b\omega+c\omega^{2}|^{2}:a,b,c distinct non-zero integers" } equals _________ [JEE Adv 2019 P1]

Complex Numbers

Section: Mathematics

Question : 14 of 36

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Let ω≠1 be a cube root of unity. Then the minimum of the set {|a+bω+cω2|2:a,b,c distinct non-zero integers" } equals _________

[JEE Adv 2019 P1]

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