For a fuel cell, which statement is correct?

Galvanic cells which use energy for combustion of fuels like  $H_2,C{H}_4,C{H}_{3}OH$ etc. as the source to produce electrical energy are called fuel cells. Fuel cell uses the reaction of $H_{2}and{O}_2$  in gaseous state to form water.
At anode, hydrogen is oxidized to  $H_{2}O$
$\begin{array}{l}\left(i\right)2H_2\to 4H^{+}+4e^{-}\\ \left(ii\right)4H^{+}+4O{H}^{-}\to 4H_{2}O\end{array}$

At cathode, oxygen is reduced to $O{H}^{-}$ ions
$O_2\left(g\right)+2H_{2}O\left(l\right)+4e^{-}\to 4O{H}^{-}\left(aq\right)$