Binomial Theorem And Its Simple Applications Question 11
Question: The term independent of y in the expansion of $ {{({y^{-1/6}}-{y^{1/3}})}^{9}} $ is
[BIT Ranchi 1980]
Options:
A) 84
B) 8.4
C) 0.84
D) - 84
Show Answer
Answer:
Correct Answer: D
Solution:
- $ (9-r)( -\frac{1}{6} )+r( \frac{1}{3} )=0\Rightarrow r=3 $ So the term independent of y = $ ^{9}C_3{{({y^{-1/6}})}^{6}}{{(-{y^{1/3}})}^{3}}=-84 $ .
BETA
