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Mathematics
Mathematics
Problem
Let
z
z
z
be a complex number such that
∣
z
+
2
∣
=
1
|z + 2| = 1
∣
z
+
2∣
=
1
and
Im
(
z
+
1
z
+
2
)
=
1
5
\operatorname{Im}\left(\frac{z+1}{z+2}\right) = \frac{1}{5}
Im
(
z
+
2
z
+
1
)
=
5
1
. Then the value of
∣
Re
(
z
+
2
)
∣
|\operatorname{Re}(z+2)|
∣
Re
(
z
+
2
)
∣
is
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