Which one of the following statements is correct for electrolysis...

Brine solution is the concentrated solution of $NaCl$ in water.

$NaCl ( aq . ) \to {Na}_{\text{(aq)}}^{+} + {Cl}_{\text{(aq)}}^{+}$

The cathode will attract the sodium ions from the sodium chloride and hydrogen ions from the water. The hydrogen ions gain 2 electrons and are reduced to form hydrogen molecules.

$2{H}^{+} ( aq ) + 2{e}^{-} \to {H}_{2} ( g )$

$2{H}_{2}O + 2{e}^{-} \to {H}_{2} ( g ) + 2{OH}^{-} ( aq )$

The anode will attract the hydroxide ions from the water and chlorine ions from sodium chloride. The chlorine ions lose 2 electrons and get oxidised.

${Cl}_{2} \to 2{Cl}^{-} + 2{e}^{-}$

${Na}^{+} + {OH}^{-} \to NaOH$