Background:
Buddhism originated in India and then spread to different parts of the world, including East Asia. As Buddhism reached East Asia, many people became interested in learning more about Buddhist texts and teachings. Therefore, pilgrims from different East Asian countries travelled to India in search of Buddhist texts.

Answer:
The correct answer is option 'B', which means that pilgrims from China travelled to India in search of Buddhist texts.

Explanation:
China played a significant role in the spread and development of Buddhism in East Asia. The first Buddhist texts were brought to China during the Han dynasty, and Buddhism became popular during the Tang dynasty. Many Chinese scholars and monks travelled to India to study Buddhism and bring back Buddhist texts. Some of the most famous Chinese pilgrims who travelled to India in search of Buddhist texts include:

- Xuanzang: He was a Chinese monk who travelled to India during the Tang dynasty. He spent 17 years in India and collected more than 600 Buddhist texts, which he later translated into Chinese. His journey to India is recorded in his book "The Great Tang Records on the Western Regions".

- Faxian: He was another Chinese monk who travelled to India during the Eastern Jin dynasty. He spent around 15 years in India and collected many Buddhist texts, which he later translated into Chinese. His journey to India is recorded in his book "A Record of Buddhist Kingdoms".

- Yijing: He was a Chinese monk who travelled to India during the Tang dynasty. He spent around 10 years in India and collected many Buddhist texts, which he later translated into Chinese. His journey to India is recorded in his book "A Record of Buddhist Practices Sent Home from the Southern Seas".

Therefore, it was the Chinese pilgrims who travelled to India in search of Buddhist texts after Buddhism reached East Asia.