Problem

The coordinate of the point(s) on the graph of the function,

f(x) = \frac{x^3}{3} - 5x^2 + 7x - 4

where the tangent drawn cuts-off intercepts from the coordinate axes which are equal in magnitude but opposite in sign, is a.

\left(2, \frac{8}{3}\right)

\left(3, \frac{7}{2}\right)

\left(1, \frac{5}{6}\right)

d. None of these