Quadrilateral ABCD is inscribed in circle O and has sides AB=3, BC=2, CD=6, and DA=8. Let X and Y be points on BD such that
\frac{DX}{BD} = \frac{1}{4} \text{and} \frac{BY}{BD} = \frac{11}{36}.
Let E be the intersection of intersection of line AX and the line through Y parallel to AD. Let F be the intersection of line CX and the line through E parallel to AC. Let G be the point on circle O other than C that lies on line CX. What is XF⋅XG?<spanclass=′latex−bold′>(A)</span>17<spanclass=′latex−bold′>(B)</span>359−52<spanclass=′latex−bold′>(C)</span>491−123<spanclass=′latex−bold′>(D)</span>367−102<spanclass=′latex−bold′>(E)</span>18