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

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

Revision as of 21:35, 10 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