With reference to Indian history, which of the following statements is/are correct?
1. The Nizamat of Arcot emerged out of Hyderabad State.
2. The Mysore Kingdom emerged out of Vijayanagara Empire.
3. Rohilkhand Kingdom was formed out of the territories occupied by Ahmad Shah Durrani.
Select the correct answer using the code given below.

The correct answer is 1 and 2 only.

Analysis of Statements:

1. Statement 1 is correct:
The Nizamat of Arcot (also known as the Carnatic Sultanate) was established in 1692 by Zulfiqar Khan, who was appointed as the Subahdar of the Carnatic by Mughal Emperor Aurangzeb. As Mughal power declined, Asaf Jah I established the independent state of Hyderabad in 1724. Subsequently, the Nawabs of Arcot functioned under the nominal suzerainty of the Nizam of Hyderabad, emerging out of the larger Hyderabad State control before becoming independent under European influence.

2. Statement 2 is correct:
The Kingdom of Mysore originally began as a vassal state of the Vijayanagara Empire. Following the defeat and disintegration of the Vijayanagara Empire after the Battle of Talikota in 1565, Raja Wodeyar I established full independence for Mysore in 1610. Thus, the Mysore Kingdom emerged directly out of the territories of the Vijayanagara Empire.

3. Statement 3 is incorrect:
The Rohilkhand Kingdom was established by Ali Muhammad Khan in the early 18th century during the decline of the Mughal Empire by bringing together various Pashtun (Rohilla) settlements in the region between the Ganges and the Himalayas. It was not formed out of territories occupied by Ahmad Shah Durrani, as Durrani's invasions of northern India took place later (mid-18th century).

Therefore, statements 1 and 2 are correct, making 1 and 2 only the correct choice.