Complex Numbers Set Values (Jee Mains) | ExamDuo
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Geometry and Locus of Complex Numbers
Medium
Complex Numbers Set Values
Let
S
=
{
z
=
x
+
i
y
:
|
z
−
1
+
i
|
≥
z
|
,
|
z
|
<
2
,
|
z
+
i
|
=
|
z
−
1
|
}
. Then the set of all values of
x
, for which
u
=
2
x
+
i
y
∈
S
for some
y
∈
ℝ
, is
Ask about this question
SELECT ONE OPTION
A
(
−
√
2
,
1
2
√
2
]
B
(
−
1
√
2
,
1
4
]
C
(
−
√
2
,
1
2
]
D
(
−
1
√
2
,
1
2
√
2
]
Check