The equation of a line is 2y + x = k, where k is a constant, and the equation of a curve is xy = 6.
(i) In the case where k = 8, the line intersects the curve at the points A and B. Find the equation of
the perpendicular bisector of the line AB.
(ii) Find the set of values of k for which the line 2y + x = k intersects the curve xy = 6 at two distinct
points.