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Complex Numbers question

2019 · Shift 1 · Q33

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PYQ Library
JEE Advanced
Mathematics
Complex Numbers
2019 · Shift 1 · Q33

Complex Numbers question

2019 · Shift 1 · Q33

JEE AdvancedMathematicsComplex NumbersNumerical+3 / −1

Let

\omega e 1

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

\{ {\left| {a + b\omega + c{\omega ^2}} \right|^2}:a,b,c

distinct non-zero integers} equals ..................

Numerical answer

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