ABCD is a parallelogram `A_(1)` and `B_(1)` are mid points of sides `BC` and `CD` respectively if ` bar (`A`A_(1))+bar(AB)_(1)=lambdabar(AC)` then `2 lambda=`

ABCD is parallelogram. If L and M are the middle points of BC and CD, then bar(AL)+bar(AM) equals

ABCD is a parallelogram. P and Q are the mid-points of sides AB and AD reapectively. Prove that area of triangle APQ= (1)/(8) of the area of parallelogram ABCD.

ABCD is a parallelogram. P and Q are the mid-points of sides AB and AD reapectively. Prove that area of triangle APQ= (1)/(8) of the area of parallelogram ABCD.

Given a parallelogram ABCD where X and Y are the mid-points of the sides BC and CD respectively . Prove that: ar (Delta AXY) = (3)/(8) xx ar (//gm) ABCD

In a parallelogram ABCD, E and F are the mid-points of sides BC and AD respectively. Show that the line segment BF and ED trisect the diagonal AC.

M and N are mid-point of the diagnols AC and BD respectivley of quadrilateral ABCD, then bar(AB) + bar(AD)+bar(CB)+bar(CD) =

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively. Show that the line segments AF and EC trisect the diagonal BD.

ABCD is a parallelogram. If AB = 2AD and P is the mid-point of CD, prove that angleAPB = 90^(@)

A straight line L cuts the sides AB, AC, AD of a parallelogram ABCD at B_(1), C_(1), d_(1) respectively. If vec(AB_(1))=lambda_(1)vec(AB), vec(AD_(1))=lambda_(2)vec(AD) and vec(AC_(1))=lambda_(3)vec(AC), then (1)/(lambda_(3)) equal to

A straight line L cuts the sides AB, AC, AD of a parallelogram ABCD at B_(1), C_(1), d_(1) respectively. If vec(AB_(1))=lambda_(1)vec(AB), vec(AD_(1))=lambda_(2)vec(AD) and vec(AC_(1))=lambda_(3)vec(AC),