The Satavahanas, an important dynasty of the Deccan region, also extended their influence into:

The correct answer is: d) Coastal Andhra Pradesh.

The Satavahanas were an important dynasty of the Deccan region that ruled from the 2nd century BCE to the 3rd century CE. They were originally from the Vidarbha region of Maharashtra, but they extended their influence into much of the Deccan, including coastal Andhra Pradesh.

The Satavahanas were patrons of art and literature, and they built many temples and other monuments. They were also known for their military prowess, and they defeated several powerful kingdoms, including the Mauryan Empire.

The Satavahana dynasty came to an end in the 3rd century CE, but their legacy continues to this day. They are remembered as one of the most important dynasties in Indian history.

Here is a brief explanation of each option:

• Option a) Northern Tamil Nadu is incorrect. The Satavahanas did not extend their influence into Northern Tamil Nadu.
• Option b) Southern Tamil Nadu is incorrect. The Satavahanas did not extend their influence into Southern Tamil Nadu.
• Option c) The entire Tamil region is incorrect. The Satavahanas did not extend their influence into the entire Tamil region.
• Option d) Coastal Andhra Pradesh is correct. The Satavahanas did extend their influence into coastal Andhra Pradesh.