The line is given by the equation $2y + x = k$, where $k$ is constant, and the curve is described by $xy = 6$.
(i)[6]
When $k = 8$, the line meets the curve at the points $A$ and $B$. Determine the equation of the perpendicular bisector of $AB$.
(ii)[3]
Determine the set of values of $k$ for which the line $2y + x = k$ intersects the curve $xy = 6$ at two distinct points.
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