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The point P lies on side CD of rectangle ABCD, with CD = 20 and AD = 10. The circumcircle ω of △ABP re-intersects CD at Q. Given that the radius of ω is 11, find the distance PQ.
(No Solution Yet, 0 Comments) Submitted on 2025-04-23 by Danish Ahmed Khan   
Let E and F be the midpoints of sides BC and AD respectively of convex quadrilateral ABCD and O the intersection of the diagonals AC and BD.

Prove that O lies inside quadrilateral ABEF if and only if

       Area(AOB) < Area(COD).
(Solution Posted, 1 Comments) Submitted on 2010-08-14 by Bractals   
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