Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberGeneral(Modulus,Argument,Conjugate)Medium2 min

MathematicsMediumsingle choice

If $z$ is a complex number satisfying $z^{4} + z^{3} + 2 z^{2} + z + 1 = 0$ , then the set of possible values of $∣ z ∣$ is

Answer:

Solution:

The given equation is $(z^{2} + z + 1) (z^{2} + 1) = 0$ . $z = \pm i, w, w^{2}, w$ being an imaginary cube root of unity. Thus $∣ z ∣ = 1$ .

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:General(Modulus,Argument,Conjugate)

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