JEE Main 2022 Mathematics question
Let for the term in the binomial expansion of , in the increasing powers of 6x, to be the greatest for x = 3/2, the least value of n is . If k is the ratio of the coefficient of to the coefficient of , then is equal to .
Answer: 24
Solution
. For to be the greatest term at x = 3/2 (6x = 9) we need − 7)/8)(6x/3) = (n − 7)/8 and − 8)/9)(6x/3) = (n − 8)/9 , which give , so the
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