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Complex Numbers question

2025 · 23 Jan · Shift 1 · Q38

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JEE Main
Mathematics
Complex Numbers
2025 · 23 Jan · Shift 1 · Q38

Complex Numbers question

2025 · 23 Jan · Shift 1 · Q38

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

\left|\frac{\bar{z}-i}{2 \bar{z}+i}\right|=\frac{1}{3}, z \in 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
$\frac{121}{25}$
B
100
C
$\frac{81}{25}$
D
50

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