What happens when a freshly precipitated `Fe(OH)_(3)` is shaken with little amount of dilute solution of `FeCl_(3)` ?

Explanation

A reddish brown colloidal solution of `Fe(OH)_3` is obtained. This process is called peptization.
The `Fe^(3+)` ions from `FeCl_3` are adsorbed on the surface of the precipitate and form positively charged colloidal solution.
`FeCl_3 to Fe^(3+) + 3Cl^(-)`
`Fe(OH)_3 + Fe^(3+) to underset("Colloidal solution")([Fe(OH)_3]Fe^(3+))`