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Top Trapezium (Posted on 2024-04-01) Difficulty: 3 of 5
The circumferences of circles ­C1 and C2 touch at exactly one point.

Both circles also are tangent to a straight line L, at points Q1 and Q2 respectively.

The center of C1 is P1, and the center of C2 is P2.

The radius of C1 is R and the radius of C2 is r.

(i) Find the area of the trapezium T with vertices Q1P1P2Q2 in terms of R and r

(ii) Given that R + r = 10 units, find the maximum area of T.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
No SubjectAdelina2024-04-09 15:17:34
Puzzle ThoughtsK Sengupta2024-04-02 21:50:41
SolutionSolutionJer2024-04-02 09:15:02
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