In the Battle of Vatapi, the Pallava ruler Narsimhavarman I defeated and killed Pulakesin II and captured the Chalukyan capital, Badami in 642 AD. Thus, he assumed the title of ‘Vatapikonda’ (Conqueror of Vatapi).
In the 6th century BCE the cultivable land was divided between the people. The beneficiaries were granted only the revenue of these lands and no administrative authority. There was emergence of the notion of private property, as there are references to the gift and sale of land.
First statement is incorrect because though the traces of Pallava and Chalukya temple architecture are available, but its construction is generally attributed to the 8th century Rashtrakuta dynasty. The second statement is also incorrect because the temple is a complete dravida building