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10
10
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1992 AIME Problems
Problems
(1)
Area on the Complex Plane
Source:
2/14/2006
Consider the region
A
A
A
in the complex plane that consists of all points
z
z
z
such that both
z
40
\frac{z}{40}
40
z
and
40
z
‾
\frac{40}{\overline{z}}
z
40
have real and imaginary parts between
0
0
0
and
1
1
1
, inclusive. What is the integer that is nearest the area of
A
A
A
?
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