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JEE Math Practice Question

All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :

  1. A.(cot 2, $$\infty $$)
  2. B.(–$$\infty $$, cot 5) $$ \cup $$ (cot 2, $$\infty $$)
  3. C.(cot 5, cot 4)
  4. D.(– $$\infty $$, cot 5) $$ \cup $$ (cot 4, cot 2)

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