Who of the following founded a new city on the south bank of a tributary to river Krishna and undertook to rule his new kingdom as the agent of a deity to whom all the land south of the river Krishna was supposed to belong?

1. The question describes the founding of the Vijayanagara Empire and its capital city. 2. The founders, Harihara I and his brother Bukka Raya I of the Sangama dynasty, established a new city on the south bank of the Tungabhadra river, a major tributary of the river Krishna. This city became known as Vijayanagara (modern Hampi). 3. Historical accounts suggest that they undertook to rule their new kingdom under the spiritual guidance of Vidyaranya and declared themselves agents of the principal deity of the region, Lord Virupaksha. This symbolized their role as protectors of Hindu dharma and legitimacy over the land south of the river Krishna. 4. Harihara I was the first ruler of this new kingdom. Therefore, option (C) correctly identifies the founder described. 5. Amoghavarsha I was a Rashtrakuta king, Ballala II was a Hoysala king, and Prataparudra II was a Kakatiya king, none of whom match the description.