Binomial Theorem And Its Simple Applications Question 55
Question: The term independent of x in $ {{[ \frac{\sqrt{x}}{3}+\frac{\sqrt{3}}{x^{2}} ]}^{10}} $ is
[EAMCET 1984; RPET 2000]
Options:
A) $ \frac{2}{3} $
B) $ \frac{5}{3} $
C) $ \frac{4}{3} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- Accordingly, $ {{(\sqrt{x})}^{10-r}}{{( \frac{1}{x^{2}} )}^{r}}=x^{0}\Rightarrow r=2 $
Hence the term is $ ^{10}C_2{{( \frac{1}{\sqrt{3}} )}^{8}}.,{{(\sqrt{3})}^{2}}=\frac{5}{3} $ .
BETA
