Further Mathematics Past Questions and Answers

If \(x^{2} - kx + 9 = 0\) has equal roots, find the values of k.

Find the coordinates of the centre of the circle \(3x^{2}+3y^{2} - 4x + 8y -2=0\)

A ball falls from a height of 18m above the ground. Find the speed with which the ball hits the ground. \([g = 10ms^{-2}]\)

A man of mass 80kg stands in a lift. If the lift moves upwards with acceleration 0.5\(ms^{-2}\), calculate the reaction from the floor of the lift on the man. \([g = 10ms^{-2}]\)

A force 10N acts in the direction 060° and another force 6N acts in the direction 330°. Find the y component of their resultant force.