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JEE Math Practice Question

The value of $$k \in \mathbb{N}$$ for which the integral $$I_n=\int_0^1\left(1-x^k\right)^n d x, n \in \mathbb{N}$$, satisfies $$147 I_{20}=148 I_{21}$$ is

  1. A.8
  2. B.14
  3. C.7
  4. D.10

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