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JEE Math Practice Question

If the coefficient of $${x^7}$$ in $${\left( {a{x^2} + {1 \over {2bx}}} \right)^{11}}$$ and $${x^{ - 7}}$$ in $${\left( {ax - {1 \over {3b{x^2}}}} \right)^{11}}$$ are equal, then :

  1. A.$$243ab = 64$$
  2. B.$$32ab = 729$$
  3. C.$$64ab = 243$$
  4. D.$$729ab = 32$$

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