Which of the following impacts arose from conflicts with European powers during the early phase of British rule in India?

1. The First Anglo-Maratha War (1775-1782) solidified British control over the western regions and diminished Maratha power.
2. The British engagement in the Second Carnatic War directly led to their domination in South India and the weakening of French influence.
3. The success of the British in the Battle of Buxar was primarily due to their military technology, including advanced artillery systems.
4. The defeat of the French in India allowed the British to establish a monopoly on trade and consolidate power in key coastal regions.

Which of the statements are correct?