A) \[{{T}_{7}}\]
B) \[{{T}_{8}}\]
C) \[{{T}_{9}}\]
D) \[{{T}_{10}}\]
Correct Answer: D
Solution :
General term, \[{{T}_{r+1}}{{=}^{15}}{{C}_{r}}\,{{({{x}^{3}})}^{15-r}}{{\left( \frac{2}{{{x}^{2}}} \right)}^{r}}\] \[{{=}^{15}}{{C}_{r}}{{x}^{45-5r}}{{(2)}^{r}}\] For term independent of x, put \[45-5r=0\] \[\Rightarrow \] \[5r=45\] \[\Rightarrow \] \[r=9\] \[\therefore \] Independent term \[={{T}_{1+9}}={{T}_{10}}\]
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