For the points ^@ A(-99, 21), ^@ ^@ B(-1, -91), ^@ and ^@ C(-37, -40), ^@ find the value of ^@ (\text{ordinate } B) ^@^@- (\text{abscissa } A) ^@^@- (\text{abscissa } C) ^@.
A ship is sailing in the South-West direction. If it changes its direction towards the South on moving anticlockwise from its present position then by what angle will it turn?
In an right angled ^@\triangle ABC, \angle ACB = 60^\circ, \angle BAC = 30^\circ^@ and ^@\angle ABC = 90^\circ.^@ If ^@BC = 19 \space cm,^@ then the length of ^@AC ^@ is:
The area of a trapezium is 352.5 cm2 and the distance between its parallel sides is 15 cm. If one of the parallel sides is of length 28 cm, find the length of the other side.
Two circles with radii of 4 and 8 are drawn with the same center. The smaller inner circle is painted purple, and the part outside the smaller circle and inside the larger circle is painted blue. What is the ratio of the areas painted blue to the area painted purple?
Draw a circle with its two chords ^@AB^@ and ^@CD^@ such that ^@AB^@ is not parallel to ^@CD^@. Draw the perpendicular bisector of ^@AB^@ and ^@CD^@. At what point do they intersect each other.
The sides of a triangular field are 5 m, 5 m and 8 m. Find the number of rose beds that can be prepared in the field, if each rose bed, on an average needs 200 cm2 space.
Phoebe reaches her office 1 minute early by traveling at a speed of 25 km/h and reaches 20 minutes late by traveling at a speed of 20 km/h. By how much time will she be early or late if she travels at 30 km/h?
New Zealand