The term 'Jan-i-Alam' was used by the people to give respect to the king of ________.

Awadh

The correct answer is Option (2) → Awadh

The term "Jan-i-Alam" was used as an honorific title specifically for the rulers of Awadh (or Oudh), which was a historical region in northern India. This title was used by the people and subjects of the Awadh kingdom to show respect and reverence to their king or ruler. It was a part of the local culture and tradition in Awadh. The other regions mentioned in the options (Azamgarh, Allahabad, and Ajmer) did not have the same historical association with the term "Jan-i-Alam" as Awadh did.

So, the correct option is [2].