What form did British rule take under the Raj?
British Raj (rāj, lit. “reign” in Hindi) or British India, officially the British Indian Empire, and internationally and contemporaneously, India, is the term used synonymously for the region, the rule, and the period, from 1858 to 1947, of the British Empire on the Indian subcontinent. The region included areas directly administered by the United Kingdom  (contemporaneously, “British India”) as well as the princely states ruled by individual rulers under the paramountcy of the British Crown. The princely states, which had all entered into treaty arrangements with the British Crown, were allowed a degree of local autonomy in exchange for accepting protection and complete representation in international affairs by the United Kingdom. Of course, they were governed according to British law.