The famous poet and historian who authored the ‘Rajatarangini’ was:

Lalitaditya
Avantivarman
Kalhana
Zain-ul-Abidin

The correct answer is: c) Kalhana.

Kalhana was a Kashmiri poet and historian who authored the Rajatarangini, a chronicle of the history of Kashmir. The Rajatarangini is considered to be one of the most important works of medieval Indian literature. It is a valuable source of information about the history of Kashmir, and it is also a work of great literary merit.

Lalitaditya was a Kashmiri king who ruled in the 8th century. He was a powerful and successful ruler, and he is considered to be one of the greatest kings of Kashmir. However, he is not known to have been a poet or historian.

Avantivarman was a Kashmiri king who ruled in the 10th century. He was a patron of the arts and literature, and he is known to have commissioned several works of poetry and history. However, he is not the author of the Rajatarangini.

Zain-ul-Abidin was a Kashmiri king who ruled in the 14th century. He was a tolerant and just ruler, and he is known for his patronage of the arts and literature. However, he is not the author of the Rajatarangini.