Teaching UP TGT Mock Test Series 2025 Mathematics Complex Numbers Properties of Complex Numbers

If \(z = \left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^5 + \left(\frac{\sqrt{3}}{2}-\frac{i}{2}\right)^ 5\), then

1
Re(z) = 0
2
lm(z) = 0
3
Re(z) > 0, lm(z) = 0
4
Re(z) > 0, lm(z) < 0
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