The correct answer is option 1 - Talikota in 1565.

The Vijayanagara Empire was a powerful South Indian empire that thrived from the 14th to the 17th century. However, it met its downfall at the Battle of Talikota in 1565.

Option 2 - Panipat in 1661 is incorrect. The Battle of Panipat did occur in 1661, but it was fought between the Mughal Empire and the forces of Dara Shikoh and Shuja. It did not involve the Vijayanagara Empire.

Option 3 - Talikota in 1665 is also incorrect. The Battle of Talikota did take place, but it occurred in 1565, not 1665. It was this battle that spelled the end of the Vijayanagara Empire.

Option 4 - Raichur in 1510 is incorrect as well. The Battle of Raichur did occur, but it was not the decisive battle that led to the downfall of the Vijayanagara Empire. The battle resulted in the defeat of the Vijayanagara forces by the Bahmani Sultanate, but the empire continued to exist for several more decades after this defeat.

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