This reaction is reversible at high temperatures, where magnesium oxide reacts with chlorine gas to produce magnesium chloride and oxygen. The reaction is temperature dependent, and high temperatures favor the forward direction.
Step 2: Conclusion.
The reversible reaction that exhibits high-temperature behaviour is \( \text{MgO} + \text{Cl}_2 \rightarrow \text{MgCl}_2 + \text{O}_2 \), corresponding to option (a).