In this question we have been asked to prove that AO/OC=BO/OD. If ABCD is a trapezium in which AB∥DC. The diagonals AC and BD intersect at O.

We also need to find the value of x if OA=3x−19,OB=x−4,OC=x−3 and OD=4.

ML Aggarwal Avichal Publication Similarity, chapter 13, question no 13

Hope it helps you.