The correct answer is option B, Nedunjeliyan.

Explanation:
The Pandya king who defeated the Chola and Chera kings in the battle of Talaiyalanganam during the Sangam age was Nedunjeliyan.

1. The Sangam age refers to the period of ancient Tamil literature, which is estimated to have occurred between 300 BCE and 300 CE. It was a time of great cultural and literary development in the Tamil region of South India.

2. The Pandya dynasty was one of the three major dynasties that ruled over Tamil Nadu during the Sangam age, alongside the Chola and Chera dynasties.

3. The battle of Talaiyalanganam was a significant event that took place during this period. It is mentioned in ancient Tamil literature, particularly in the poem known as "Pattinapalai" written by the poet Kadiyalur Uruttirangannanar.

4. According to the poem, Nedunjeliyan, the Pandya king, emerged victorious in the battle by defeating both the Chola and Chera kings. The battle is described as a fierce conflict between the three dynasties.

5. Nedunjeliyan's victory in the battle of Talaiyalanganam is considered an important event in Tamil history as it established the supremacy of the Pandya dynasty over the Chola and Chera dynasties.

6. However, it is important to note that the details and historical accuracy of events during the Sangam age are often debated among historians. The primary sources for information about this period are ancient Tamil literature, which may contain both historical facts and fictional elements.

In conclusion, the Pandya king who defeated the Chola and Chera kings in the battle of Talaiyalanganam during the Sangam age was Nedunjeliyan. This victory established the supremacy of the Pandya dynasty in the region.