The point on the curve at which the normal passes through the origin is

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The point on the curve 3y=6x−5x33y=6x-5x^3 at which the normal passes through the origin is (a) (1,13)\left(1,\frac{1}{3}\right) (b) (13,1)\left(\frac{1}{3},1\right) (c) (2,−283)\left(2,-\frac{28}{3}\right) (d) None of these

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