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5.In a∆ABC, P, Q are points on AB, AC respectively and PQ is parallel to BC. Prove that
               the median AD bisects PQ.

               6.Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn
               intersecting AC in L and AD produced in E. Prove that: EL = 2BL.

               7.D is the midpoint of side BC of∆ABC and E is the midpoint of side AD. BE

               produced meets AC at K. Prove that AK =   AC.

































































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