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

In the figure given below, ABCD is a parallelogram. E is a point on AB. CE intersects the diagonal BD at G and EF is parallel to BC. If AE : EB = 1 : 2 find area of triangle BEF : area of triangle ABD

In the figure given below, ABCD is a parallelogram. E is a point on AB. CE intersects the diagonal BD at G and EF is parallel to BC. If AE : EB = 1 : 2 find EF : AD

ABCD is a parallelogram. E is a point on BC such that BE : EC = m:n. If AE and DB intersect in F, then what is the ratio of the area of triangle FEB to the area of triangle AFD?

In the fig. ABCD is a parallelogram and X,Y and Z the points on diagonal BD such that DX=BD prove that CXAY is a parallelogram.

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

E is any point on the side BC of the parallelogram ABCD. AE intersects the diagonal BD at point F. Prove that DF×EF=FB×FA .

ABCD is a parallelogram. A circle passing through C and D intersects AD and BC at the points E and F. Prove that the four points E, A, B, F are concyclic.

ABCD is a parallelogram.E; F are mid point of BC; CD respectively.AE; AF meet the diagonal BD at points Q and P respectively.Show that points P and Q trisect DB.

ABCD is a parallelogram.E,F are mid- points of BC,CD respectively.AE,AF meet the diagonal BD at points Q and P respectively.Show that points P and Q trisect DB.

ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prove that: (AB+BC+CD+DA)>(AC+BD)