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Complex Numbers question

2025 · 7 Apr · Shift 2 · Q28

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JEE Main
Mathematics
Complex Numbers
2025 · 7 Apr · Shift 2 · Q28

Complex Numbers question

2025 · 7 Apr · Shift 2 · Q28

JEE MainMathematicsComplex NumbersMCQ+4 / −1

If the locus of z ∈ ℂ, such that Re

\left( \frac{z - 1}{2z + i} \right) + \text{Re} \left( \frac{\overline{z} - 1}{2\overline{z} - i} \right) = 2

, is a circle of radius r and center

(a, b)

, then

\frac{15ab}{r^2}

is equal to :

A
16
B
24
C
12
D
18

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