The line \(x - y + 4 = 0\) intersects the curve \(y = 2x^2 - 4x + 1\) at points \(P\) and \(Q\). It is given that the coordinates of \(P\) are \((3, 7)\).

(ii) Find the coordinates of \(Q\).

(iii) Find the equation of the line joining \(Q\) to the mid-point of \(AP\).