10 The equation of a line is \(2 y + x = k\), where \(k\) is a constant, and the equation of a curve is \(x y = 6\).
- 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 \(A B\).
- Find the set of values of \(k\) for which the line \(2 y + x = k\) intersects the curve \(x y = 6\) at two distinct points.