MCQMediumJEE Main 2025 · 22 January, Shift 2Argand Plane & Geometry

Mathematics Question from JEE Main 2025 · 22 January, Shift 2

Let the curve z(1+i)+z‾(1−i)=4, z∈Cz(1 + i) + \overline{z}(1 - i) = 4, \, z \in \mathbb{C}, divide the region ∣z−3∣≤1|z - 3| \leq 1 into two parts of areas α\alpha and β\beta. Then ∣α−β∣|\alpha - \beta| equals:

  • A

    1+π41 + \frac{\pi}{4}

  • B

    1+π21 + \frac{\pi}{2}

  • C

    1+π31 + \frac{\pi}{3}

  • D

    1+π61 + \frac{\pi}{6}

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