For the points ^@ A(95, 91), ^@ ^@ B(53, 35), ^@ ^@ C(-25, 72), ^@ and ^@ D(42, -10), ^@ find the value of ^@ (\text{ordinate } D) ^@^@- (\text{abscissa } B) ^@^@+ (\text{abscissa } C) ^@^@- (\text{ordinate } A) ^@.
Draw a circle with its two chords ^@PQ^@ and ^@RS^@ such that ^@PQ^@ is not parallel to ^@RS^@. Draw the perpendicular bisector of ^@PQ^@ and ^@RS^@. At what point do they intersect each other.
A carpenter has cut a board in the shape of trapezium. If the parallel sides of the trapezium are 30 cm and 27 cm and non parallel sides are 25 cm and 26 cm, find the area of the board.
The area of a trapezium is 322.5 cm2 and the distance between its parallel sides is 15 cm. If one of the parallel sides is of length 30 cm, find the length of the other side.
Pump A can fill a tank in 20 minutes, while pump B can fill the same tank in 5 minutes. Both pumps are turned on together to fill the empty tank, but when tank became half full, pump B stops working and rest of the tank is filled by pump A only. How long it took to fill the tank?