(a)
Trimethyl amine is a tertiary amine. It dissolve in cold nitrous acid to form salts which decompose on warming to nitrosoamine and alcohol. It will not liberate nitrogen.
$\left( CH_{3} \right)_{3}N + HNO_{2} \rightarrow \left\lbrack \left( CH_{3} \right)_{3}NH \right\rbrack^{+}NO_{2}^{-}$
trimethyl ammonium nitrite