The founder of the Hoysala dynasty, which ruled parts of Karnataka and Tamil Nadu, was:

Sala
Ballala I
Vishnuvardhana
Narasimha I

The correct answer is: c) Vishnuvardhana.

Vishnuvardhana was the founder of the Hoysala dynasty, which ruled parts of Karnataka and Tamil Nadu from the 11th to the 14th centuries. He was born in 1069 CE and ascended to the throne in 1076 CE. He is considered to be one of the greatest rulers of the Hoysala dynasty. He was a powerful and successful military leader who expanded the Hoysala kingdom. He was also a patron of the arts and architecture. He built many temples and other monuments, including the famous Hoysaleswara Temple in Halebidu.

Sala was a Hoysala general who ruled parts of Karnataka and Tamil Nadu in the 11th century. He was the father of Vishnuvardhana.

Ballala I was the son of Vishnuvardhana. He ruled the Hoysala kingdom from 1100 CE to 1108 CE. He was a successful military leader who defeated the Chola dynasty.

Narasimha I was the son of Ballala I. He ruled the Hoysala kingdom from 1152 CE to 1173 CE. He was a powerful and successful military leader who expanded the Hoysala kingdom. He is considered to be one of the greatest rulers of the Hoysala dynasty.