A curve has equation \(y = 2x^2 - 3x + 1\) and a line has equation \(y = kx + k^2\), where \(k\) is a constant.

(i) Show that, for all values of \(k\), the curve and the line meet. [4]

(ii) State the value of \(k\) for which the line is a tangent to the curve and find the coordinates of the point where the line touches the curve. [4]