The points on the curve 9y2 = x3, where the normal to the curve makes equal intercepts with the axes are
(A)`(4, +- 8/3)`
(C)`(4, +- 3/8)`
(D) `(+-4, 3/8)`
The equation of the given curve is 9y2 = x3.
Differentiating with respect to x, we have:
It is given that the normal makes equal intercepts with the axes.
Therefore, We have:
The correct answer is A.