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\(ABCD\) is a trapezium with \(AB||DC\). \(E\) and \(F\) are points on non-parallel sides \(AD\) and \(BC\) respectively such that \(EF\) is parallel to \(AB\). Show that \(\frac{AE}{ED} = \frac{BF}{FC}\).
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.