The correct answer is A. Nanyadeva.
Nanyadeva was the founder of the Karnata dynasty in Mithila. He was a powerful ruler who expanded his kingdom to include much of present-day Bihar and Jharkhand. He was also a patron of the arts and literature.
B. Narsimhadeva was the son of Nanyadeva. He succeeded his father as king and ruled for a short period of time. He was a capable ruler, but he was not as successful as his father.
C. Vijaydeva was the grandson of Nanyadeva. He succeeded his father, Narsimhadeva, as king. He was a weak ruler and his kingdom was soon conquered by the Sena dynasty.
D. All of the above is not the correct answer because it includes options B and C, which are incorrect.