In the figure ,ABCD is a parallelogram and E divides BC in the ratio `1:3` DB and AE intersect at F. Show that DF = 4FB and AF = 4FE .

ABCD is a parallelogram.The circle through A.B and intersects CD produced at E.show that AD=AE .

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).

ABCD is a parallelogram and E is a point, on BC. If the diagonal BD intersects AE at F, prove that AFxxFBxxEFxxFD .

In the given figure, ABCD is a parallelogram. AE divides the line segment BD in the ratio 1 : 2. If BE = 1.5 cm find BC.

In the given figure, ABCD is a parallelogram and E is the midpoint of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.

The side AD of parallelogram ABCD is produced to a point E. BE intersects CD at F. Show that Delta ABE~ Delta CFB .

In the given figure, ABCD is a parallelogram in which DC is extended to F such that AF intersects BC at E . Then perimeter of DeltaABE =

In the given figure, Here, ABCD is a parallellogram in which DC is extended to F such that AF intersects BC at E. Perimeter of Delta ABE =

ABCD is a parallelogram. L is a point on BC which divides BC in the ratio 1:2 . AL intersects BD at P.M is a point on DC which divides DC in the ratio 1 : 2 and AM intersects BD in Q. Point Q divides DB in the ratio

ABCD is a parallelogram. L is a point on BC which divides BC in the ratio 1:2 . AL intersects BD at P.M is a point on DC which divides DC in the ratio 1 : 2 and AM intersects BD in Q. PQ : DB is equal to