The line \(y=kx+3\), where \(k\) is a positive constant, is a tangent to the curve \(x^2-2x+y^2=8\) at the point \(P\).

(i) Find the value of \(k\).

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

(iii) Find the equation of the normal to the curve at \(P\).