NVAMediumJEE Main 2023 · 30 January, Shift 1Modulus & Argument

Mathematics Question from JEE Main 2023 · 30 January, Shift 1

Let z=1+iz = 1 + i and z1=1+izˉzˉ(1z)+1zz_1 = \frac{1 + i\bar{z}}{\bar{z}(1-z) + \frac{1}{z}}. Then 12πarg(z1)\frac{12}{\pi} \, arg(z_1) is equal to _____.

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