Page 03 MARKS Attempt ALL questions Total marks — 70 1. Triangle ABC is shown in the diagram below. The coordinates of B are (3,0) and the coordinates of C are (9,−2). The broken line is the perpendicular bisector of BC. y x A B C O (a) Find the equation of the perpendicular bisector of BC. (b) The line AB makes an angle of 45° with the positive direction of the x-axis. Find the equation of AB. (c) Find the coordinates of the point of intersection of AB and the perpendicular bisector of BC. 2. (a) Show that ( ) 1 x − is a factor of ( ) 3 2 2 5 2 f x x x x = − + + . (b) Hence, or otherwise, solve ( ) 0 f x = . [Turn over 4 2 2 2 3