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JEE ADVANCE 2019
paper 1
Question
Let $\omega \neq 1$ be a cube root of unity. Then the minimum of the set $$ \left\{\left|\mathrm{a}+\mathrm{b} \omega+\mathrm{c} \omega^2\right|^2: \mathrm{a}, \mathrm{~b}, \mathrm{c} \text { distinct non-zero integers }\right\} $$ equals $\_\_\_\_$
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