The case of dehydration of alcohol takes place most easily in case $(c)$.
In all cases during dehydration carbocation is formed.
In case $(a)$, carbocation destabilise by $NO_2(− I)$ group hence, dehydration reaction proceed with difficulty.
In case $(b)$ dehydration reaction takes place less difficulty than case $(a)$ because $Cl$ group show $(−I)$ and $(+R)$ effect.
In case $(c)$ dehydration reaction proceed easily because carbocation is stabilised by $OCH_3(+R)$ group.