Choose the correct answer in the points on the curve \(9y^2 = x^3\), where the normal to the curve makes equal intercepts with the axes are

Question

\[ \begin{array}{l \qquad l \qquad l} (A)\; \left(4,\pm {\frac{8}{3}}\right) \quad &(B)\; \left(4,{\frac{-8}{3}}\right) \\ (C)\;\left(4,\pm {\frac{3}{8}}\right) \quad &(D)\;\left(\pm 4, {\frac{3}{8}}\right)\end{array} \]