\omega is a complex cube root of unity and if Z is a complex number satisfying |Z-1| \leq 2 and {| \omega^2 Z-1-\omega |}=a, then the set of possible values of a is [AP EAPCET 23 May 2024 S1]

\frac{1}{2} \leq a \leq {\sqrt{3}}/{2}

|\omega| \leq a \leq {\sqrt{3}}/{2}+2

Complex Numbers

Section: Mathematics

Question : 24 of 50

Marks: +1, -0

ω is a complex cube root of unity and if Z is a complex number satisfying |Z−1|≤2 and |ω2Z−1−ω|=a, then the set of possible values of a is

[AP EAPCET 23 May 2024 S1]

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