The coordinate of the point(s) on the graph of the function where the tangent drawn…

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

Problem

The coordinate of the point(s) on the graph of the function f(x)=x33−5x2+7x−4f(x)=\frac{x^3}{3}-5x^2+7x-4 where the tangent drawn cuts off intercepts from the coordinate axes that are equal in magnitude but opposite in sign is (1) (2,83)\left(2,\frac{8}{3}\right) (2) (3,72)\left(3,\frac{7}{2}\right) (3) (1,56)\left(1,\frac{5}{6}\right) (4) None of these

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