Complex Numbers on Circle (Jee Mains) | ExamDuo
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Geometry and Locus of Complex Numbers
Medium
Complex Numbers on Circle
Let S
=
{
z
∈
C
:
|
z
−
1
|
=
1
and
(
√
2
−
1
)
(
z
+
z
)
−
i
(
z
−
z
)
=
2
√
2
}
. Let
z
1
,
z
2
∈
S
be such that
|
z
1
|
=
max
z
∈
S
|
z
|
and
z
2
=
min
z
∈
S
|
z
|
. Then
|
√
2
z
1
−
z
2
|
2
equals :
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SELECT ONE OPTION
A
1
B
4
C
3
D
2
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