0580 P42 - Jun 2022 - Q3 - 12 marks
12492
Line \(l\) joins \(F=(3,2)\) and \(G=(-5,4)\).
(a) Calculate its length. [3]
(b) Find the equation of its perpendicular bisector in the form \(y=mx+c\). [5]
(c) \(H\) lies on the y-axis and \(GH=13\). Find both possible positions of H. [4]
