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triangle POR has vertices P(0,12), R(5,0) and O(0,0).there exists a line l cutting PR and OP...

triangle POR has vertices P(0,12), R(5,0) and O(0,0).there exists a line l cutting PR and OP at A and B respectively, such that circles can be inscribed in triangle PAB and quadrilateral RAB. Also, these circles are tangent to line l at the same point.if line l passes through (0,8), then the area of quadrilateral AB is A, find A.

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