The political future of the upcoming Hoysalas was greatly influenced by the two larger neighboring powers – the Chalukyas of Kalyani and the Cholas of Thanjavur.
During the 11th and 12th centuries power in the southern peninsula were focused on these two kingdoms. If you draw a diagonal line on the south India’s map connecting Vijayawada in Andhrapradesh to Mangalore in Karnataka, you can get a very approximate border between these two empires.