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.

Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7

A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.