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Mathematics · 2023

JEE Main · 30 January 2023, Shift 1 · Q82

Let z =1+i and z_1=(1+i z̄)/(z̄(1-z)+1/z). Then 12/(π) ( z_1) is equal to ____.

Let $\displaystyle \mathrm{z}=1+i$ and $\displaystyle \mathrm{z}_1=\frac{1+i \bar{z}}{\bar{z}(1-z)+\dfrac{1}{z}}$. Then $\displaystyle \frac{12}{\pi} \arg \left(\mathrm{z}_1\right)$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.