A popular breed of cattle in Tamil Nadu known for its milk production is the:

Kangayam
Gir
Sahiwal
Tharparkar

The correct answer is: a) Kangayam.

The Kangayam is a breed of cattle that is native to the Kangayam region of Tamil Nadu, India. It is a dual-purpose breed, meaning that it is used for both milk and meat production. The Kangayam is known for its high milk production, and it is also a popular breed for draught purposes.

The Kangayam is a large, sturdy breed of cattle. It has a long, thick neck and a large head. The coat is usually black or red, but there are also white and pied varieties. The Kangayam is a hardy breed that is well-adapted to the hot, dry climate of Tamil Nadu.

The Kangayam is a popular breed of cattle in Tamil Nadu. It is used for both milk and meat production. The Kangayam is also a popular breed for draught purposes. The Kangayam is a hardy breed that is well-adapted to the hot, dry climate of Tamil Nadu.

The other options are incorrect because they are not breeds of cattle that are native to Tamil Nadu. The Gir is a breed of cattle that is native to Gujarat, India. The Sahiwal is a breed of cattle that is native to Pakistan. The Tharparkar is a breed of cattle that is native to Rajasthan, India.