Lodi Dynasty

With reference to Lodhi Dyansty, consider the following statements:

1. The dynasty was of Turkish origin.
2. The first Lodhi ruler was Bahlul Lodhi.

Which of the statements given above is/are not correct?

With reference to three battles of Panipat, consider the following statements:

1. At the First Battle of Panipat (1526), Babur defeated Ibrahim Lodi of the Lodi dynasty and established the Mughal Empire.
2. In the Second Battle of Panipat (1556), Bairam Khan defeated Hemu.
3. The Third Battle of Panipat (1761), at which the invading Afghani forces of Ahmad Shah Durrani defeated the army of the Maratha Empire.

Which of the statements given above is/are correct?