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Question

Question: The value of \({Re}(z) = 0\) is....

The value of Re(z)=0{Re}(z) = 0 is.

A

0

B

1

C

2

D

None of these

Answer

0

Explanation

Solution

z1z2+z2z3+z3z1=1.ω+ω.ω2+ω2.1=ω+ω3+ω2=1+ω+ω2=0z_{1}z_{2} + z_{2}z_{3} + z_{3}z_{1} = 1.\omega + \omega.\omega^{2} + \omega^{2}.1 = \omega + \omega^{3} + \omega^{2} = 1 + \omega + \omega^{2} = 0.