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)`
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Solution
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.
Concept: Approximations
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