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Equal Areas on Circles (Posted on 2016-11-19) Difficulty: 4 of 5
Circles P and Q have radii 1 and 4 respectively and are externally tangent at point A. Point B is on P and point C is on Q such that BC is a common external tangent of the two circles. A line L through A intersects P again at D and intersects Q again at E. Points B and C lie on the same side of the line L and the areas of triangle DBA and triangle ACE are equal. Find this common area.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
SolutionAnalytic solutionJer2016-11-19 09:00:48
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