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Let ABCD be a aprallelogram. Two points ...

Let ABCD be a aprallelogram. Two points E and f are chosen on the sides BC and CD respectively such that `(EB)/(EC)=m` and `(FC)/(FD)=n`. Lines AE and BF intersect at G. Prove that the ratio `(AG)/(GE)=((m+1)(n+1))/(mn)`

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