(c)
Acetic acid on reduction with lithium aluminiumhydride ($LiAlH_{4}$) gives ethyl alcohol while on reduction with HI and red P gives ethane.
$CH_{3}COOH\overset{LiAlH_{4}\ \ \ \ }{\rightarrow}CH_{3}CH_{2}OH$
ethyl alcohol
$CH_{3}COOH\overset{Red\ P\ + HI}{\rightarrow}CH_{3} - CH_{3}$
Ethane
Hence, reagent A and B are respectively $LiAlH_{4}$ and HI/red P.