The headquarters of the Animal Welfare Board of India is located in Chennai, which is Option 2. The Animal Welfare Board of India (AWBI) is a statutory body under the Ministry of Fisheries, Animal Husbandry, and Dairying, Government of India. It was established in 1962 under the provisions of the Prevention of Cruelty to Animals Act, 1960, with the aim of promoting animal welfare and preventing cruelty towards animals.

Here`s the reasoning behind Chennai being the correct answer:

1. Historical Background: The Animal Welfare Board of India was set up in Chennai in 1962. Chennai has been the headquarters of the AWBI since its inception, and it continues to operate from there. The board has a long-standing presence in the city.

2. Legal Framework: The AWBI was established under the Prevention of Cruelty to Animals Act, 1960. The act empowers the board to advise the central and state governments on matters related to animal welfare and the implementation of animal protection laws. The board`s headquarters are located in Chennai, making it the central hub for coordinating animal welfare efforts across the country.

3. Official Information: The official website of the Animal Welfare Board of India clearly states that its headquarters are situated in Chennai. The website serves as a reliable source of information about the organization and its activities.

4. Presence and Operations: The AWBI`s primary functions include promoting animal welfare, advising the government on animal-related issues, conducting inspections, and coordinating with various stakeholders involved in animal welfare. These activities are predominantly carried out from the board`s headquarters in Chennai.

While options like Ahmedabad, Hyderabad, and Kolkata are major cities in India, they are not the locations where the headquarters of the Animal Welfare Board of India is based. Chennai is the correct answer based on historical evidence, legal provisions, official information, and the operational presence of the board.