(a) Salicylic acid gives effervescence with $NaHCO _{3}$, which is a characteristic feature of carboxylic acid. Thus, it ensures the presence of a carboxylic group in it.
(b) It doesn't give silver mirror with Tollen's reagent because it doesn't have aldehydic group.
(c) It gives red colour with neutral $FeCl _{3}$ as it contains enol group i.e., group
i.e., $=\underset{|}{C}-OH$ group