Question

The points on the curve 9y² = x³, where the normal to the curve makes equal intercepts with the axes are

(A)`(4, +- 8/3)`

(B) `(4,(-8)/3)`

(C)`(4, +- 3/8)`

(D) `(+-4, 3/8)`

Answer 1

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.