Difference between revisions of "1992 AIME Problems/Problem 10"
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== Problem == | == Problem == | ||
| − | 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>? | + | 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 21:51, 10 March 2007
Problem
Consider the region 
in the complex plane that consists of all points 
such that both 
and 
have real and imaginary parts between 
and 
, inclusive. What is the integer that is nearest the area of ?
Solution
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