Binomial Theorem And Its Simple Applications Question 109
Question: If the sum of the coefficients in the expansion of $ {{(\alpha x^{2}-2x+1)}^{35}} $ is equal to the sum of the coefficients in the expansion of $ {{(x-\alpha y)}^{35}} $ , then $ \alpha $ =
Options:
A) 0
B) 1
C) May be any real number
D) No such value exist
Show Answer
Answer:
Correct Answer: B
Solution:
- Accordingly, $ {{(\alpha -2+1)}^{35}}={{(1-\alpha )}^{35}} $
therefore $ {{(\alpha -1)}^{35}}={{(1-\alpha )}^{35}}\Rightarrow \alpha =1 $
BETA
