Let the curve z(1 + i) + z(1 - i) = 4, z ∈ ℂ, divide the region |… | JEE Main 2025 Mathematics PYQ

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

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

A
$1 + \frac{\pi}{4}$
B
$1 + \frac{\pi}{2}$
C
$1 + \frac{\pi}{3}$
D
$1 + \frac{\pi}{6}$

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