A) \[4\]
B) \[2\sqrt{2}\]
C) \[\sqrt{5}\]
D) \[3\]
Correct Answer: A
Solution :
\[{{x}^{2}}{{\left( \sqrt{x}+\frac{\lambda }{{{x}^{2}}} \right)}^{10}}\] |
Consider constant term |
\[^{10}{{C}_{r}}{{(\sqrt{x})}^{10-r}}{{\left( \frac{\lambda }{{{x}^{2}}} \right)}^{r}}\] |
\[\frac{10-r}{2}-2r=0\] |
\[10-5r=0\] |
\[r=2\] |
\[\Rightarrow \]\[^{10}{{C}_{2}}\times {{\lambda }^{2}}=720\] \[\Rightarrow \]\[\lambda =4.\] |
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