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Example:













               P is the mid-point of the side DC of parallelogram ABCD whose diagonals AC and


               BD meet at O. Q is a point on AC such that CQ =      AC.  PQ produced meets CB at
               R. Show that


               (i) PQ =    DO and QR =     OB
               (ii) PQ = QR
               (iii) R is the mid-point of BC.

               Given:

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