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Mathematics · 2022

JEE Main · 30 July 2022, Shift 2 · Q82

If p_1 and p_2, respectively, are the second largest and the fourth largest prime numbers in the factorization of the coefficient of x^30 in the…

If $\displaystyle p_1$ and $\displaystyle p_2$, respectively, are the second largest and the fourth largest prime numbers in the factorization of the coefficient of $\displaystyle x^{30}$ in the expansion of $\displaystyle \left(x^2+2+\frac{1}{x^2}\right)^{-5}\left(1+x^2\right)^{40}$, then $\displaystyle p_1+p_2$ is equal to \_\_\_\_
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.