Explanation: To understand the context of the statements provided, we need to delve into the historical and geographical aspects of Tamil Nadu, particularly focusing on Chennai and its significance.
1. **Badruddin Tyabji and the Indian National Congress**: Badruddin Tyabji was a prominent Indian lawyer and politician who played a significant role in the Indian independence movement. He was elected as the president of the Indian National Congress for the third session, which was held in Chennai (then known as Madras) in 1887. This event is historically significant as it marked the first time a Muslim was elected as the president of the Indian National Congress, highlighting the inclusive nature of the organization.
2. **Geographical Context of Chennai**: Chennai, the capital city of Tamil Nadu, is located on the southeastern coast of India. However, it is not the Southernmost point of the North-South corridor. The North-South corridor is a major transportation route that runs from the northernmost part of India to the southernmost part. The Southernmost point of this corridor is Kanyakumari, a town in the southernmost tip of the Indian subcontinent, which is located in Tamil Nadu but not in Chennai.
3. **Archives in Chennai**: The main office of the National Archives of India is not located in Chennai. The National Archives of India is headquartered in New Delhi, with regional offices in various parts of the country. While Chennai does have its own archives, they are not the main office of the National Archives of India.
In summary, the only true statement among the given options is that Badruddin Tyabji was elected as the president of the 3rd session of the Indian National Congress held in Chennai. The other statements about the Southernmost point of the North-South corridor and the location of the main office of Archives are incorrect. Therefore, the correct answer is (B) Only 1,.