The correct answer is option 4, Nagaland. As per the Census 2011, Nagaland is the Indian state that has recorded negative growth of population. This means that the population of Nagaland has seen a decline during the period of the census.

Option 1, Manipur, is not the correct answer as Manipur has not recorded negative growth of population and has instead experienced a positive population growth.

Option 2, Mizoram, is also not the correct answer as Mizoram has not recorded negative growth of population. Similar to Manipur, Mizoram has seen a positive population growth.

Option 3, Tripura, is not the correct answer as well since Tripura has also experienced positive growth in population and not negative growth.

It is important to note that the negative growth of population in Nagaland does not imply a decrease in the total number of people living in the state. It simply means that the rate of population growth in Nagaland has been slower compared to other Indian states during the period of the Census.