If a > 0 , a ∈ R , z = a + 2 i and z ∣ z ∣ − a z + 1 = 0 then

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MathematicsComplex NumberGeneral(Modulus,Argument,Conjugate)Easy2 minPYQ_2011

MathematicsEasysingle choice

If $a > 0, a \in R, z = a + 2 i$ and $z ∣ z ∣ - a z + 1 = 0$ then

Answer:

Solution:

Putting $z = a + 2 i$ in the given equation and comparing imaginary parts, we get $a^{2} + 4 = a^{2}$ , which is not possible.

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

⏱ 2mℹ️ Source: PYQ_2011

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