2002 AIME II Problems/Problem 15
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Problem
Circles 
and 
intersect at two points, one of which is 
and the product of the radii is 
The x-axis and the line 
, where 
iare tangent to both circles. It is given that 
can be written in the form 
where 
and 
are positive integers, 
is not divisible by the square of any prime, and 
and are relatively prime. Find 
Solution
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See also
| 2002 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
