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Complex Numbers question

2025 · 22 Jan · Shift 2 · Q42

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2025 · 22 Jan · Shift 2 · Q42

Complex Numbers question

2025 · 22 Jan · Shift 2 · Q42

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let the curve

z(1+i)+\bar{z}(1-i)=4, z \in C

, divide the region

|z-3| \leq 1

into two parts of areas

\alpha

and

\beta

. Then

|\alpha-\beta|

equals :

A
$1+\frac{\pi}{3}$
B
$1+\frac{\pi}{6}$
C
$1+\frac{\pi}{2}$
D
$1+\frac{\pi}{4}$

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