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Algebra and Representation of Complex Numbers
Hard
Complex Numbers Unit Modulus Greatest Integer
Let
a
,
b
be two real numbers such that
a
b
<
0
. If the complex number
1
+
a
i
b
+
i
is of unit modulus and
a
+
ib
lies on the circle
|
z
−
1
|
=
|
2
z
|
, then a possible value of
1
+
[
a
]
4
b
, where
[
t
]
is greatest integer function, is :
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