A) Non existent
B) \[^{9}{{C}_{2}}\]
C) 2268
D) - 2268
Correct Answer: D
Solution :
\[{{T}_{r+1}}={{\,}^{9}}{{C}_{r}}{{(x)}^{9-r}}{{\left( -\frac{3}{{{x}^{2}}} \right)}^{r}}\] = \[^{9}{{C}_{r}}{{(-3)}^{r}}{{(x)}^{9-3r}}\] For term independent of x, \[9-3r=0\Rightarrow r=3\] \[{{T}_{4}}={{\,}^{9}}{{C}_{3}}\,{{(-3)}^{3}}=-2268\].You need to login to perform this action.
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