Use the following graph and answer the given questions :

(a) Write the co-ordinates of points A, B and C.

(b) Find the equation of a line passing through the mid-point of AC and parallel to AB.

A solid wooden toy is prepared by joining a cone, a cylinder and a sphere, as shown in the given diagram. The radius of each of the three solids is 7 cm and heights of each of the cone and the cylinder is 24 cm. Find :

(a) the total surface area of the given solid.

(b) the cost of painting the total surface at the rate of ₹ 0.50 per cm².

A survey was conducted on 300 families having 2 children each. The results obtained are given below.

If one family is selected at random, find the probability that it will have:

(a) one girl child

(b) one or more girl child

(c) no boy child

In the given figure ‘O’ is the centre of the circle. PQ is a tangent to the circle at B and AB = AC. If ∠CBQ = 40°, find the unknown angles x, y, z and w.