JEE Main 2022 Mathematics question

The number of positive integers k such that the constant term in the binomial expansion of , is , where is an odd integer, is

Answer: 2

Solution

= . For the constant term 36 − 3r − kr = 0, so r = 36/(3 + k). The possible values of k are 1, 3, 6, 9, 15 and 33 (r = 9, 6,

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Question ID VK-034983