ABCD is rectangle in which AB= 9cm , BC =6 cm . P is a point in CD such that PC=x. If `AP^2+PB^2` is minimum then x=

ABCD is a rectangle in which AB= 9cm, BC=6cm. P is a point in CD such that PC = xcm, then the value of x when AP^2 + BP^2 is minimum is

ABCD is a rectangle in which AB=10 cmc , BC =8 cms. A point P is taken on AB such that PA =x. The the minimum value of PC^(2)+PD^(2) is obtained when x=

ABCD is a rectangle in which AB=10cms,BC=8cms.A point P is takes on AB such that PA=x Then the minimum value of PC^(2)-PD^(2) is obtained when x=

ABCD is a rectangle. If AB = 5 cm and BC = 12 cm. then BD= ……….cm

ABCD is a rectangle . If AB=10 cm and ar(ABCD)=150 cm^2 , then BC=____ cm.

In the given figure, ABCD is a rectangle in which AB = 40 cm and BC = 25 cm. If P. Q, R, S be the midpoints of AB, BC, CD and DA respectively, find the area of the shaded region.

ABCD is a rectangle,PC=9cm,BP=15cm,AB=14cm. Then the angles of /_APB are such that:

In the given figure,ABCD is a rectangle and P is a point on DC such that BC=24 cm, DP = 10 cm, and CD=15 cm .If AP produced intersect BC produced at Q. then find the length of AQ.