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JEE Math Practice Question

Let $$\alpha $$ > 0, $$\beta $$ > 0 be such that $$\alpha $$3 + $$\beta $$2 = 4. If the maximum value of the term independent of x in the binomial expansion of $${\left( {\alpha {x^{{1 \over 9}}} + \beta {x^{ - {1 \over 6}}}} \right)^{10}}$$ is 10k, then k is equal to :

  1. A.176
  2. B.336
  3. C.352
  4. D.84

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