A cone of radius 4 cm is divided into two parts by drawing a plane through the mid-point of its axis and parallel to its base. Compare the volumes of the two parts.

ABCD is a parallelogram in which vertices B = (5, 8), C = (4, 7) and D = (2, -4). Find :

(i) the coordinates of vertex A.

(ii) the equation of diagonal BD.

Rohit has a recurring deposit account in a bank for 3 years at the rate of 8% per annum. Find the maturity value of the account, if he gets ₹ 4995 as interest.

If the mean proportion between x and z is y, find the mean proportion between x² + y² and y² + z².