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Mathematics · 2025

JEE Main · 4 April 2025, Shift 1 · Q7

For an integer n ≥ 2, if the arithmetic mean of all coefficients in the binomial expansion of (x+y)^2 n-3 is 16, then the distance of the point P (2…

For an integer $\displaystyle n \geq 2$, if the arithmetic mean of all coefficients in the binomial expansion of $\displaystyle (x+y)^{2 n-3}$ is $\displaystyle 16$, then the distance of the point $\displaystyle \mathrm{P}\left(2 n-1, n^2-4 n\right)$ from the line $\displaystyle x+y=8$ is
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.