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UPSC NDA II 2024 Mathematics Paper

Question Numbers: 41-42

Direction : Consider the following for the items that follow :

Let Z ₁ and Z ₂ be any two complex numbers such that

Z_{1}^{2} + Z_{2}^{2} + Z_{1}Z_{2} = 0

Question : 42 of 120

Marks: +1, -0

what is the value of

\;\frac{1}{2} + \operatorname{Re}\left(\;\frac{Z_{1}}{Z_{2}}\right) ?

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