Let the coefficients of three consecutive terms T_r, T_ r+1 and T_ r+2 in the binomial expansion of (a+b)^ 12...

Question

Let the coefficients of three consecutive terms T_r, T_ r+1 and T_ r+2 in the binomial expansion of (a+b)^ 12 be in a G.P. and let p be the number of all possible values of r. Let q be the sum of all rational terms in the binomial expansion of ( [4] 3 + [3] 4 )^ 12 . Then p + q is equal to :

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(1)

JEE Main 2025 Mathematics question

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