Difference between revisions of "1984 AIME Problems/Problem 6"

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== See also ==
 
== See also ==
* [[1984 AIME Problems/Problem 5 | Previous problem]]
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{{AIME box|year=1984|num-b=5|num-a=7}}
* [[1984 AIME Problems/Problem 7 | Next problem]]
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* [[AIME Problems and Solutions]]
* [[1984 AIME Problems]]
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* [[American Invitational Mathematics Examination]]
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* [[Mathematics competition resources]]

Revision as of 13:22, 6 May 2007

Problem

Three circles, each of radius $\displaystyle 3$, are drawn with centers at $\displaystyle (14, 92)$, $\displaystyle (17, 76)$, and $\displaystyle (19, 84)$. A line passing through $\displaystyle (17,76)$ is such that the total area of the parts of the three circles to one side of the line is equal to the total area of the parts of the three circles to the other side of it. What is the absolute value of the slope of this line?

Solution

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See also

1984 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
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All AIME Problems and Solutions
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