Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
Let Z 1 and Z 2 be any two complex numbers such that \(\rm Z_1^2+Z_2^2+Z_1Z_2=0\)
what is the value of \(\rm \frac{1}{2}+Re\left(\frac{Z_1}{Z_2}\right)?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
\(\rm \frac{1}{2}+Re\left(\frac{Z_1}{Z_2}\right) = \frac{1}{2}+ Re (\frac{\omega }{\omega^2})\)
= \(\frac{1}{2}Re(\omega)^2\)
= \(\frac{1}{2}+ Re [ -\frac{1}{2} - \frac{\sqrt3}{2}i\)
= \(\frac{1}{2} + (-\frac{1}{2}) = 0\)
∴ Option (b) is correct.
Last updated on May 30, 2025
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