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JEE Math Practice Question

If the greatest value of the term independent of 'x' in the expansion of $${\left( {x\sin \alpha + a{{\cos \alpha } \over x}} \right)^{10}}$$ is $${{10!} \over {{{(5!)}^2}}}$$, then the value of 'a' is equal to :

  1. A.$$-$$1
  2. B.1
  3. C.$$-$$2
  4. D.2

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