Let 1 be a cube root of unity. Then the minimum of the set |a+b +c ^2|^2:a,b,c distinct non-zero integers equals _____

JEE Advanced 2019 Mathematics question

Let be a cube root of unity. Then the minimum of the set

{|a+bω+cω^2|^2:a,b,c distinct non-zero integers}

equals

Answer: 3

. For three

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Question ID VK-026856