Mathematics · 2024
JEE Main · 8 April 2024, Shift 1 · Q11
The value of k ∈ N for which the integral I_n=∫_0^1(1-x^k)^n d x, n ∈ N, satisfies 147 I_20=148 I_21 is
The value of $\displaystyle k \in \mathbb{N}$ for which the integral $\displaystyle I_n=\int_0^1\left(1-x^k\right)^n d x, n \in \mathbb{N}$, satisfies $\displaystyle 147 I_{20}=148 I_{21}$ is
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 7$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.