Dhivehi is not the principal language of options 1, 2, and 4.

Option 1: Puducherry is a Union Territory where the dominant language is Tamil, though Malayalam and Telugu are also spoken due to its location and historical influences.

Option 2: Ladakh is another Union Territory where the most widely spoken languages are Ladakhi and Balti.

Option 4: Jammu and Kashmir, a former state, now divided into two Union Territories (Jammu & Kashmir and Ladakh), primarily has Kashmiri, Dogri, and Urdu as principal languages.

Option 3: Dhivehi is the principal language of Lakshadweep. Although it`s an Indian Union Territory, its culture and languages have been greatly influenced by the nearby Maldives, where Dhivehi is also the principal language. Hence, among the given options, Lakshadweep is the correct answer.