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 \(\rm \left|\frac{Z_1}{Z_2}\right|\),
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
\(\rm Z_1^2+Z_2^2+Z_1Z_2=0\)
⇒ Z 1 = ω and Z 2 = ω 2
Now
⇒ \(|\frac{Z_1}{Z_2}| =| \frac{\omega }{(\omega)^2}| =|\frac{1}{\omega|}= 1\)
Option (a) is correct.
Last updated on May 30, 2025
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