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Two vertices of a triangle ABC are A (3,6) and B (7,12).
(a) Find the equation of line AB. (3 marks)
(b) Find the equation of the perpendicular bisector of line AB. (4 marks)
(c) Given that AC is perpendicular to AB and the equation of line BC is y = -5x + 47, find the co-ordinates of C. (3 marks)