Difference between revisions of "1992 AIME Problems/Problem 10"

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== See also ==
 
== See also ==
* [[1992 AIME Problems/Problem 9 | Previous Problem]]
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{{AIME box|year=1992|num-b=9|num-a=11}}
  
* [[1992 AIME Problems/Problem 11 | Next Problem]]
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[[Category:Intermediate Complex Numbers Problems]]
 
 
* [[1992 AIME Problems]]
 

Revision as of 15:59, 11 March 2007

Problem

Consider the region $A^{}_{}$ in the complex plane that consists of all points $z^{}_{}$ such that both $\frac{z^{}_{}}{40}$ and $\frac{40^{}_{}}{\overline{z}}$ have real and imaginary parts between $0^{}_{}$ and $1^{}_{}$, inclusive. What is the integer that is nearest the area of $A^{}_{}$?

Solution

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See also

1992 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 9
Followed by
Problem 11
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All AIME Problems and Solutions