The Battle of Rakshasi-Tangadi, also known as the Battle of Talikota, was fought in 1565 between the Vijayanagara Empire and the Deccan sultanates.

Option 1: The Battle of Talikota is the correct answer as the battle took place near villages named Rakshasi and Tangadi, hence it`s also called as Battle of Rakshasi-Tangadi.

Option 2: The Battle of Khanwa was fought in 1527 between Babur (the founder of Mughal Empire) and Rana Sanga of Mewar, which has no relation to the Battle of Rakshasi-Tangadi.

Option 3: The Battle of Panipat refers to three wars that took place in 1526, 1556 and 1761, respectively, near the city of Panipat in Northern India.

Option 4: The Battle of Dharmat was fought in 1658 in Central India between Prince Aurangzeb and his brother Dara Shikoh for the Mughal throne, which again is a different battle.

Hence, the Battle of Rakshasi-Tangadi is synonymous with the Battle of Talikota.