Pand Q r any 2 points lying on the sides dc and ad respectively of a parallelogram ABCDshow  that arAPB=ar BQC 

If your question is "Pand Q r any 2 points lying on the sides BC and AD respectively of a parallelogram ABCD show that arAPB=ar BQC" than the solution  is

We have

Since ABCD is a parallelogram.

AD = BC

Let CL be the altitude 

So,

This also proves that the area of triangle between the two parallel lines and same bases are equal.

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