Binomial Theorem And Its Simple Applications Question 209
Question: Two middle terms in the expansion of $ {{( x-\frac{1}{x} )}^{11}} $ are
Options:
A) 231x and $ \frac{231}{x} $
B) $ 462x $ and $ \frac{462}{x} $
C) $ -462x $ and $ \frac{462}{x} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- Middle term of $ {{( x-\frac{1}{x} )}^{11}} $ is $ T_6={{,}^{11}}C_5{{(x)}^{6}}{{( -\frac{1}{x} )}^{5}}=-462,x $ and $ T_7={{,}^{11}}C_6{{(x)}^{5}}{{( -\frac{1}{x} )}^{6}}=\frac{462}{x} $
BETA
