The shaded area in the above map shows the empire of

The correct answer is Shah Jahan. The map shows a vast empire that covers almost the entire Indian subcontinent except for the extreme southern tip of the peninsula. While Aurangzeb had the largest Mughal territory, his empire included the deep south after he conquered Bijapur and Golconda late in his reign. The shaded area specifically excludes the southernmost regions of India but includes the Northwest frontier and Kabul. This extent matches the Mughal Empire during the reign of Shah Jahan. Ala ud din Khilji and Mohammad Tughlaq are incorrect because their empires had different boundaries in the south and did not maintain such stable northern frontiers as depicted in the map. Therefore, based on the territorial reach shown, the empire belongs to Shah Jahan.