Difference between revisions of "1999 IMO Problems/Problem 5"
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Latest revision as of 23:56, 18 November 2023
Problem
Two circles 
and 
are contained inside the circle 
, and are tangent to at the distinct points 
and 
, respectively. passes through the center of . The line passing through the two points of intersection of and meets at 
and 
. The lines 
and 
meet at 
and 
, respectively.
Prove that 
is tangent to .
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1999 IMO (Problems) • Resources | ||
| Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 6 |
| All IMO Problems and Solutions | ||
