If the locus of z ∈ ℂ, such that Re ( (z - 1)/(2z + i)) + Re ( (z… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 2Argand Plane & Geometry

If the locus of $z \in \mathbb{C}$ , such that $\text{Re} \left( \frac{z - 1}{2z + i} \right) + \text{Re} \left( \frac{ \bar{z} - 1}{2 \bar{z} - i} \right) = 2,$ is a circle of radius $r$ and center $(a, b)$ , then $\frac{15ab}{r^2}$ is equal to:

A
$24$
B
$12$
C
$18$
D
$16$

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