Here`s an explanation of the matches:

I. Saraswati Mahal Library is located in Thanjavur, which is known for its rich cultural heritage and historical significance. The library houses a vast collection of ancient manuscripts and books.

II. Library of Tibetan Work and Archives is situated in Dharamsala, a city in Himachal Pradesh, India. Dharamsala is known as the residence of the Dalai Lama and a significant center for Tibetan culture and Buddhism. The library is dedicated to preserving Tibetan literature and cultural heritage.

III. Raza Library is located in Rampur, a city in Uttar Pradesh, India. The library is known for its extensive collection of rare manuscripts, historical documents, and books in various languages, including Arabic, Persian, and Urdu.

IV. Khuda Baksh Oriental Public Library is situated in Patna, the capital city of Bihar, India. It is one of the oldest libraries in India and is renowned for its vast collection of ancient and rare manuscripts in languages such as Arabic, Persian, and Urdu.

Therefore, the correct match between the libraries and their locations is I-C, II-B, III-D, IV-A.