Explanations:Nalanda University, located in the state of Bihar, was one of the oldest and most renowned universities in the world. It was a major center of learning from the 5th to the 12th century CE. The university was situated in the ancient kingdom of Magadha, which is now part of modern-day Bihar. Nalanda University was known for its vast library, which was one of the largest in the world at the time. It attracted students and scholars from various parts of the world, including China, Korea, and Tibet.
The university was dedicated to the study of various subjects, including philosophy, logic, grammar, medicine, and astronomy. It was a hub of intellectual and cultural exchange, and its influence extended far beyond the borders of India. The university was patronized by various rulers, including the Gupta emperors and the Pala dynasty, which contributed to its growth and development.
Takshila University, on the other hand, was located in present-day Pakistan, in the region of Gandhara. It was also a significant center of learning in ancient India, but it is not located in the state of Bihar. Takshila University was known for its focus on subjects such as medicine, law, and military science. It was an important institution in the region, but it is not the first university in Bihar.
Therefore, the correct answer is Nalanda University, as it was the first and most prominent educational institution in the state of Bihar. It played a crucial role in the intellectual and cultural development of the region and continues to be an important part of the historical and cultural heritage of Bihar.