1.4: Line meets a curve; perpendicular bisector meets y=xy = x

0606/11/M/J/20 — Question 6 · 8 marks

The line y=5x+6y = 5x + 6 meets the curve xy=8xy = 8 at the points AA and BB.
(a)
Find the coordinates of AA and of BB.
[3]
(b)
Find the coordinates of the point where the perpendicular bisector of the line ABAB meets the line y=xy = x.
[5]