Who was the guardian deity of the Vijayanagara Kingdom?

Virupaksha

The correct answer is Option (3) → Virupaksha

The Virupaksha deity is a form of Lord Shiva and was considered the guardian deity of the Vijayanagara Kingdom.

According to local tradition, the rocky hills on the banks of the Tungabhadra river sheltered the monkey kingdom of Vali and Sugriva mentioned in the Ramayana. Other traditions suggest that Pampadevi, the local mother goddess, did penance in these hills in order to marry Virupaksha, the guardian deity of the kingdom, also recognized as a form of Shiva.