Sample Paper – 2012
Class – XII
Subject – Mathematics

1) Find the centre of a circle passing though the points (5,7),(6,6) and (2,-2).Also find the radius.

2)  A ceiling fan is available for Rs.970 cash or for Rs.210 cash down payment followed by 3 equal installments of Rs.260 each.Find the rate of interest charged under installment plan

3) A cylindrical tub of radius 12cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub which rises the level of water in the tub by 6.75 cm. Find the radius of the spherical ball.

4) A bird is sitting on the top of a tree, which is 80m high. The angle of elevation of the bird, from a point on the ground is 45. The bird flies away from the point of the observation horizontally and remains at a constant height. After 2 seconds, the angle of elevation of the bird from the point of observation becomes 30. Find the speed of the flying of the bird.