Badami (quoting Wikipedia), formerly known as Vatapi, is located in the Bagalkot district of Karnataka, India. It was the regal capital of the Badami Chalukyas from 540 to 757 AD. It is famous for rock cut and other structural temples. It is located in a ravine at the foot of a rugged, red sandstone outcrop that surrounds Agastya lake.
In my own words, Badami is a must visit. It has some amazing ruins, and there are places around Badami that are worth a visit too. The drive from Hyderabad to Badami lies along NH 218, which does not have much traffic and the 500 kms can be covered quite easily 🙂
Posting first some snaps of what I saw in Badami itself. The key thing to see in badami are the temples in the form of rock cut caves. There’s a sequence of 4 temples, each devoted to a different deity.