JEE Math Practice Question
For two positive real numbers a and b such that $${1 \over {{a^2}}} + {1 \over {{b^3}}} = 4$$, then minimum value of the constant term in the expansion of $${\left( {a{x^{{1 \over 8}}} + b{x^{ - {1 \over {12}}}}} \right)^{10}}$$ is :
- A.$${{105} \over 2}$$
- B.$${{105} \over 4}$$
- C.$${{105} \over 8}$$
- D.$${{105} \over 16}$$
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