P is the mid-point of the side AD of the parallelo- gram ABCD. The line BP meets the diagonal AC in Q and the line CD in R. Then `RQ:QB` is equal to

ABCD is a parallelogram and P is themid point of the side AD. The line BP meets the diagonal AC in Q. Then the ratio AQ : QC =

M is the mid point of the side CD of the parallelogram ABCD. The line BM is drawn intersecting AC in L and AD produced at E.Prove that(ii) EL = 2BL

M is the mid point of the side CD of the parallelogram ABCD. The line BM is drawn intersecting AC in L and AD produced Prove that (i) ALxxLM=CLxxBL

ABCD is a parallelogram and P is the midpoint of the side AD. The line BP meets the diagonal AC in Q. Then, the ratio of AQ:QC is equal to

If P\ a n d\ Q are the mid points of the sides AB and CD of a parallelogram ABCD, prove that DP and BQ cut the diagonal AC in its points of trisection which are also the points of trisection of DP and BQ respectively.

In a parallelogram ABCD, P is the mid point of the side AD. The line BP cuts the diagonal AC in the point Q. Then the ratio AQ:QC=

Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn, intersecting AC in L and AD produced in El. Prove that EL= 2BL

E is the mid-point of the median AD of a DeltaABC . If B is extended it meets the side AC at F, then CF is equal to