Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are ^@ A(8,12)^@, ^@B(4,20)^@, and ^@C(12,24)^@.
The angle of elevation of the top of a tower from the two points ^@ P ^@ and ^@ Q ^@ at distances of ^@ a ^@ and ^@ b \space (a > b) ^@ respectively from the base and in the same straight line with it are complementary. The height of the tower is:
In the given figure, a circle is inscribed in a ^@ \triangle PQR.^@ ^@ PQ = 8 \space cm, QR = 6 \space cm, ^@ and ^@ PR = 10 \space cm.^@ What is the length of ^@QL^@ ?
The radii of two circles are ^@14 \space cm^@ and ^@18 \space cm^@ respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.
A object is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 16 cm and the total height of the object is 78 cm, then choose the correct inner surface area of the object.
Two coins are tossed simultaneously ^@ 900 ^@ times and it is found that two tails appeared ^@ 450 ^@ times, one tail appeared ^@ 270 ^@ times and no tails appeared ^@ 180 ^@ times.
If two coins are tossed at random, what is the probability of getting ^@ 1 \text { tail } ^@?
Faces of a cube are marked with A,B,C,D,E and F. Two views of cube are as shown below, if face C is opposite to face B, what will be there on the top when D is at the bottom?
In this diagram, the triangle represents women, the square represents engineers and the circle represents employed. Find the number of engineers who are employed but not women.