The binary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4).

The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is

If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)

A chord of a circle subtends an angle of 120° degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

If tan θ = 4/3, calculate sin\(^2\) θ - cos\(^2\) θ.