The sum of the coefficient of x^ 2/3 and x^ −2/5 in the binomial expansion of (x^ 2/3 + 12x^ -2/5 )^9 is :

JEE Main 2024 Mathematics question

The sum of the coefficient of and in the binomial expansion of is :

Answer: (A)

= ⁹Cᵣ/2)ʳ with exponent of x equal to 6 − 2r/3 − 2r/5. For : 6 − 2r/3 − 2r/5 = 2/3 gives r = 5,

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Question ID VK-016456