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Binomial Theorem question

2025 · 28 Jan · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2025 · 28 Jan · Shift 2 · Q32

Binomial Theorem question

2025 · 28 Jan · Shift 2 · Q32

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

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

(\sqrt[4]{3}+\sqrt[3]{4})^{12}

. Then

p + q

is equal to:

A
295
B
283
C
299
D
287

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