Use an asymptote family to find when no real roots occur

C has equation $y=x^2/(x-2)$.

(i) Find the asymptotes.1 mark

(ii) Sketch C, labelling asymptotes, axial intercepts and turning points.2 marks

(iii) Hence find the values of k for which $x^2=k(x^2-4)$ has no real roots.2 marks