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The coefficient of the term independent of `x` in the expansion of `(a x+b/x)^(14)` is a. `14 ! a^7b^7` b. `(14 !)/(7!)a^7b^7` c. `(14 !)/((7!)^2)a^7b^7` d. `(14 !)/((7!)^3)a^7b^7`

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Suppose `(r+1)` th term in the given expansion is independent of `x`.
Then, we have
`T_{r+1}=\ ^{14} C_{r}(a x)^{14-r}(frac{b}{x})^{r} `
`=\ ^{14} C_{r} a^{14-r} b^{r} x^{14-2 r}`
...
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