If the tangent at the point \(P\) with co-ordinates \((h, k)\) on the curve \(y^{2}=2 x^{3}\) is perpendicular to the straight line \(4 x=3 y\), then
(A) \((\mathrm{h}, \mathrm{k})=(0,0)\) only
(B) \((\mathrm{h}, \mathrm{k})=\left(\frac{1}{8},-\frac{1}{16}\right)\) only
(C) \((h, k)=(0,0)\) or \(\left(\frac{1}{8},-\frac{1}{16}\right)\)
(D) no such point \(P\) exists