Let S = {z ∈ ℂ: |z - 1| = 1 and (√2 - 1)(z + z) - i(z - z) = 2√2}… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 1 February, Shift 1Argand Plane & Geometry

Let $S = \left\{z \in \mathbb{C} : |z - 1| = 1 \text{ and } (\sqrt{2} - 1)(z + \bar{z}) - i(z - \bar{z}) = 2\sqrt{2}\right\}$ . Let $z_1, z_2 \in S$ be such that $|z_1| = \max_{z \in S} |z|$ and $|z_2| = \min_{z \in S} |z|$ . Then $\left|\sqrt{2}\,z_1 - z_2\right|^2$ equals:

A
$1$
B
$4$
C
$3$
D
$2$

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