Let | (z - i)/(2z + i) | = 1/3, z ∈ ℂ, be the equation of a circl… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 23 January, Shift 1Argand Plane & Geometry

Let $\left| \frac{\overline{z} - i}{2\overline{z} + i} \right| = \frac{1}{3}, \, z \in \mathbb{C}$ , be the equation of a circle with center at $C$ . If the area of the triangle, whose vertices are at the points $(0, 0), C$ and $(\alpha, 0)$ , is $11$ square units, then $\alpha^2$ equals:

A
$100$
B
$50$
C
$121$
D
$\frac{81}{25}$

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