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Mathematics
Problem
If
z
z
z
is a complex number such that
∣
z
∣
≥
2
|z| \ge 2
∣
z
∣
≥
2
, then the minimum value of
∣
z
+
(
1
2
)
∣
\left| z + \left(\frac{1}{2}\right) \right|
z
+
(
2
1
)
, is a. is strictly greater than
5
2
\frac{5}{2}
2
5
b. is equal to
5
2
\frac{5}{2}
2
5
c. is strictly greater than
3
2
\frac{3}{2}
2
3
but less than
5
2
\frac{5}{2}
2
5
d. lies in the interval
(
1
,
2
)
(1, 2)
(
1
,
2
)
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