10 The equation of a curve is \(y = 2 x + \frac { 12 } { x }\) and the equation of a line is \(y + x = k\), where \(k\) is a constant.
- Find the set of values of \(k\) for which the line does not meet the curve.
In the case where \(k = 15\), the curve intersects the line at points \(A\) and \(B\). - Find the coordinates of \(A\) and \(B\).
- Find the equation of the perpendicular bisector of the line joining \(A\) and \(B\).