In a trapezoid ABCD,AB||CD,|AB|=4 and `|CD|=10` .Suppose that lines AC and BD intersect at right angle and that lines BC and DA ,when extended to point Q form an angle of `45^(@` ,then area of trapezoid ABCD is

In a quadrilateral ABCD, with unequal sides if the diagonals AC and BD intersect at right angles, then

Suppose line segments AB and CD intersect at O in such a way that AO=OD and OB=OC .Prove that AC=BD but AC may not be parallel to BD

In a rectangle ABCD, points X and Y are the midpoints of AD and DC, respectively. Lines BX and CD when extended intersect at E, lines BY and AD when extended intersect at F. If the area of ABCD is 60 then the area of BEF is

Two lines AB and CD intersect at O such that BC is equal and parallel to AD .Prove that the lines AB and CD bisect at O

In a trapezium ABCD , it is given that AB||CD and AB= 2CD . Its diagonals AC and BD intersect at the point O such that ar (Delta AOB)=84 cm^(2) . Find ar (Delta COD)

Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O.

In trapezium ABCD with AB||CD, if angleA = 100° , then angleD = __________.