Intersection of Complex Sets (Jee Mains) | ExamDuo
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Geometry and Locus of Complex Numbers
Medium
Intersection of Complex Sets
For
n
∈
N
, let
S
n
=
{
z
∈
C
:
|
z
−
3
+
2
i
|
=
n
4
}
and
T
n
=
{
z
∈
C
:
|
z
−
2
+
3
i
|
=
1
n
}
.
Then the number of elements in the set
{
n
∈
N
:
S
n
∩
T
n
=
φ
}
is :
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