The correct match for the given periods and wars is option 4, which includes the Second Anglo-Maratha War (AD 1790-92), the First Anglo-Burmese War (AD 1824-26), and the Third Mysore War (AD 1845-46).

Dissecting each option we find:

Option 1 (1 2 and 4): The first war mentioned is Incorrect. The First Anglo Maratha War took place from AD 1775-82, not 1767-69. The other war dates are matched correctly.

Option 2 (2 3 and 4): Here, all wars are correctly matched to their corresponding periods.

Option 3 (1 and 2): The First Anglo Maratha War took place from AD 1775-82, not 1767-69, so this match is incorrect. The Second Mysore War happened in AD 1780-84, not 1790-92.

Option 4 (2 and 3): Both the Third Mysore War and the First Anglo-Burmese War are correctly matched to their respective dates.

Therefore, the options matched in the answer are correct as per the dates of the wars given.