Complex Numbers Minimum Real Part (Jee Mains) | ExamDuo
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Geometry and Locus of Complex Numbers
Hard
Complex Numbers Minimum Real Part
Let
z
and
w
be two complex numbers, such that
w
=
z
z
−
2
z
+
2
,
|
z
+
i
z
−
3
i
|
=
1
and
R
e
(
w
)
has minimum value. Then, the minimum value of
n
∈
N
for which
w
n
is real, is equal to
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