The correct answer is option 'A' - Coromandel.

Explanation:
The coast of Tamil Nadu and Andhra Pradesh is known as the Coromandel Coast. This coastal region is located along the Bay of Bengal in eastern India. It stretches from the Krishna River in the north to the Kaveri River in the south.

The Coromandel Coast has a rich historical and cultural significance. It was named after the Tamil word "Cholamandalam," which means the realm of the Chola dynasty. The Chola dynasty was one of the most powerful and influential dynasties in South India during the medieval period.

Key Points:
1. Geographical Location: The Coromandel Coast is situated on the southeastern coast of India, covering the states of Tamil Nadu and Andhra Pradesh.
2. Bay of Bengal: The coast is bordered by the Bay of Bengal, which is the northeastern part of the Indian Ocean.
3. Major Cities: Several major cities are located along the Coromandel Coast, including Chennai (formerly known as Madras), Visakhapatnam, Puducherry (formerly known as Pondicherry), and Tiruchirappalli.
4. Natural Features: The coast is characterized by sandy beaches, lagoons, and estuaries. It also has numerous deltas formed by rivers like the Krishna, Godavari, and Kaveri.
5. Historical Significance: The Coromandel Coast has played a crucial role in the history of South India. It was a hub of trade and commerce during ancient times, attracting foreign traders from various parts of the world.
6. Colonial Influence: The region witnessed the arrival of European powers like the Portuguese, Dutch, French, and British, who established their trading posts and colonies along the coast.
7. Cultural Heritage: The Coromandel Coast is known for its vibrant culture, art, and architecture. The region is home to several famous temples, historical monuments, and UNESCO World Heritage Sites like the Brihadeeswara Temple in Thanjavur and the Group of Monuments in Mahabalipuram.

In conclusion, the name of the coast of Tamil Nadu and Andhra Pradesh is the Coromandel Coast. Its geographical location, historical significance, and cultural heritage make it a significant coastal region in India.