(a)
$\ _{6}C \rightarrow 1s^{2},\ 2s^{2},\ 2p^{2}$
$\ _{5}B \rightarrow 1s^{2},\ 2s^{2},\ 2p^{1}$
In first case $IE_{1}$ of C > $IE_{1}$ of B. Since, carbon is smaller than B in size. But $IE_{2}(B) > IE_{2}(C)$ because electron are paired as well as present in inner $s$-orbital whereas for carbon it will be still in $2p$-orbital and in unpaired state