Option 1, Battle of Wandiwash, is the correct answer. In this battle, which took place in 1760 during the Seven Years` War, the French were completely defeated by the English. The battle was fought in southern India between the French forces, led by General Thomas Arthur de Lally, and the English forces, commanded by Colonel Sir Eyre Coote. The English victory at Wandiwash ended French dominance in southern India and ultimately led to their complete defeat in the war. The Battle of Buxar (option 2), Battle of Plassey (option 3), and Battle of Adyar (option 4) are not relevant to the question and do not involve the complete defeat of the French by the English.