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Trajan is remembered as a successful soldier-emperor who presided over the greatest military expansion in Roman history, leading the empire to attain its maximum territorial extent by the time of his death. He is also known for his philanthropic rule, overseeing extensive public building programmes and implementing social welfare policies, which earned him his enduring reputation as the second of the Five Good Emperors who presided over an era of peace and prosperity in the Mediterranean world.
As per the above passage, we can conclude if India had been conquered by Trajan, he would have been the greatest ruler and extended philanthropic rule all over India. There must be absence of democratic ideas and democratic rights in India. The division of society will be on the basis of Roman society.