Complex Numbers Intersection Sets Sum (Jee Mains) | ExamDuo
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Chords & Intersection of Circles
Hard
Complex Numbers Intersection Sets Sum
Let
α
=
8
−
14
i
,
A
=
{
z
∈
C
:
α
z
−
α
z
z
2
−
(
z
)
2
−
112
i
=
1
}
and
B
=
{
z
∈
C
:
|
z
+
3
i
|
=
4
}
Then
∑
z
∈
A
∩
B
(
Rez
−
Im
z
)
is equal to _______.
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