Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

If $z_{1}, z_{2}, z_{3}$ are roots of $z^{3} - (1 + 3 i) z^{2} + (3 i - 2) z + 2 = 0$ , find $Im (z_{1}) + Im (z_{2}) + Im (z_{3})$ .

Answer:

Solution:

By Vieta, z1+z2+z3=1+3i, so the sum of their imaginary parts is 3.

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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