Correct answer: D. 1761 CE
Explanation: The direct answer is D: 1761 CE. Hyder Ali rose from military service to become the effective, or de facto, ruler of Mysore in 1761. The question asks when he became the ruler, and the standard school-history date is 1761. Step by step: identify the person, Hyder Ali; identify the event, his rise as the real ruler of Mysore; match that event with the remembered date, 1761 CE; therefore choose D. Option A, 1757, is associated with the Battle of Plassey, not Hyder Ali’s rise in Mysore. Option B, 1764, is associated with the Battle of Buxar. Option C, 1799, is the year Tipu Sultan was defeated and Mysore changed hands after the Fourth Anglo-Mysore War, long after Hyder Ali’s rise. Option D is correct. Memory cue: Hyder Ali—Mysore’s effective ruler—1761.