A) 10
B) 15
C) 16
D) None
Correct Answer: D
Solution :
\[{{T}_{r+1}}={{6}_{{{C}_{r}}}}{{x}^{{{6}^{-r}}}}{{\left( \frac{1}{{{x}^{2}}} \right)}^{r}}{{=}^{6}}{{C}_{r}}{{(x)}^{6-r-2r}}\] For coefficient of x 6,6-r -2r == 6, or r = 0 This means the term is the first term. \[\Rightarrow \] \[{{T}_{1}}{{=}^{6}}{{C}_{0}}{{x}^{6}}=1.{{x}^{6}}\]\[\Rightarrow \]coefficient of \[{{x}^{6}}=1\]You need to login to perform this action.
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