Mathematics · 2025
JEE Main · 28 January 2025, Shift 2 · Q7
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…
Let the coefficients of three consecutive terms $\displaystyle \mathrm{T}_{\mathrm{r}}, \mathrm{T}_{\mathrm{r}+1}$ and $\displaystyle \mathrm{T}_{\mathrm{r}+2}$ in the binomial expansion of $\displaystyle (\mathrm{a}+\mathrm{b})^{12}$ 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 $\displaystyle (\sqrt[4]{3}+\sqrt[3]{4})^{12}$. Then $\displaystyle \mathrm{p}+\mathrm{q}$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 283$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.