Mathematics · 2024
JEE Main · 6 April 2024, Shift 1 · Q30
For n ∈ N, if cot^-1 3+ cot^-1 4+ cot^-1 5+ cot^-1 n=(π)/4, then n is equal to ____.
For $\displaystyle n \in \mathbb{N}$, if $\displaystyle \cot ^{-1} 3+\cot ^{-1} 4+\cot ^{-1} 5+\cot ^{-1} n=\frac{\pi}{4}$, then $\displaystyle n$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
47
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.