Explanation:

Buddha attained Mahaparinirvana at Kushinagar (Malla Mahajanapada) in Uttar Pradesh at the age of 80 in 483 BC. He is said to be contemporary for major part of his life to King Bimbisara and for last few years to Ajatashatru of Haryanka Dynasty.
Buddha is known in various Buddhist texts also as Tathagata and Sakyamuni. The predecessor of Buddha under Buddhism was Kassapa Buddha and his successor will be Maitreya. Hence, option (a) is correct.