Burdwan Raja's City Palace was situated in:

Calcutta

The correct answer is Option (2) → Calcutta

The Burdwan Raja's City Palace was situated in Calcutta (now Kolkata) for historical and administrative purposes. Calcutta was the capital of British India during the British colonial period, and it played a central role in the administration and governance of India. Many prominent individuals and aristocrats, including the Burdwan Raja, established their residences and palaces in Calcutta due to its strategic importance and as a hub of political, economic, and cultural activities during that time.

So, the correct option is [2].