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$If Z be a complex number satisfying Z^{4} + Z^{3} + 2 Z^{2} + Z + 1 = 0, then set of all possible value of |Z| is$

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Correct option is B

The given equation is Z2+Z+1Z2+1=0Z2+Z+1=0, Z2+1=0⇒Z=ω,ω2,i,−i where ω is complex cube root of unity ⇒|Z|=1

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If Z be a complex number satisfying Z4+Z3+2Z2+Z+1=0, then set of all possible value of Z is

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$If Z be a complex number satisfying Z^{4} + Z^{3} + 2 Z^{2} + Z + 1 = 0, then set of all possible value of |Z| is$