In Fig. 9.32, ABCD is a parallelogram and BC is produced to a point Q such that`A D\ =\ C Q`. If AQ intersect DC at P, show that `a r\ (B P C)\ =\ a r\ (D P Q)dot`

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)

In the figure, 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( Delta BPC) = ar( Delta DPQ).

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

In Fig. , ABCD is a parallelogram in which P is the mid-point of DC and Q is a point on AC such that CQ = 1/4AC . If PQ produced meets BC at R, prove that R is a mid-point of BC.

In Fig. , ABCD is a parallelogram in which P is the mid-point of DC and Q is a point on AC such that CQ = 1/4AC . If PQ produced meets BC at R, prove that R is a mid-point of BC.

ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. Prove that P, Q, C and D are concyclic.

In Figure, A B C D is a parallelogram in which P is the mid-point of D C\ a n d\ Q is a point on A C such that C Q=1/4A C . If P Q produced meets B C\ a t\ R , prove that R is a mid-point of B C .

A B C D is a parallelogram. P is the mid-point of A BdotB D\ a n d\ C P intersect at Q such that C Q : Q P=3: 1. If a r\ ( P B Q)=10\ c m^2, find the area of parallelogram A B C D

A B C D is a parallelogram. P is the mid-point of A BdotB D\ a n d\ C P intersect at Q such that C Q : Q P=3: 1. If a r\ ( P B Q)=10\ c m^2, find the area of parallelogram A B C D