ABCD is a parallelogram P is a point on AD suchAP.that `(AP)/(AD)=1/2013`. Q is the point of intersection of `AC and BP`. Calculate `(AQ)/(AC)=`

ABCD is a parallelogram.P is a point on AD such that AP=(1)/(3)AD and Q is a point on BC such that CQ=(1)/(3)BP. Prove that AQCP is a parallelogram.

ABCD is a parallelogram. P is any point on AD, such that AP = 1/3AD and Q is a point on BC such that CQ = 1/3BC . Prove that AQCP is a parallelogram.

ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, show that: ar(BPC) = ar(DPQ)

P and Q are points on opposite sides AD and BC of a parallelogram ABCD such that PQ passes through the point of intersection of its diagonals AC and BD. Show that PQ is bisected at O.

P and Q are points on opposite sides AD and BC of a parallelogram ABCD such that PQ passes through the point of intersection O of its diagonals AC and BD. Show that PQ is bisected at O.

P and Q are points on opposite sides AD and BC of a parallelogram ABCD such that PQ passes through the point of intersection O of its diagonals AC and BD. Show that PQ is bisected at O.