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JEE Math Practice Question

${ }^{n-1} C_r=\left(k^2-8\right){ }^n C_{r+1}$ if and only if :

  1. A.$2 \sqrt{2}<\mathrm{k}<2 \sqrt{3}$
  2. B.$2 \sqrt{2}<\mathrm{k} \leq 3$
  3. C.$2 \sqrt{3}<\mathrm{k}<3 \sqrt{3}$
  4. D.$2 \sqrt{3}<\mathrm{k} \leq 3 \sqrt{2}$

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