NCERT Class 11-Math's: Chapter –8 Binomial Theorem Part 8
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Question 14:
Find in the binomial f the ratio of 7th term from the beginning to the 7th term from the end is .
Answer:
The given expression is
General Term
7th term from the end term from the beginning
term from the beginning
So,
According to the question, we get
Hence, the required value of is
Question 15:
In the expansion of if the sum of odd terms is denoted by and the sum of even term by E.
Then prove that
(i)
(ii)
Answer:
Given expression is
Sum of odd terms
And the sum of even terms,
Now
Similarly
Multiplying eq. (i) and eq. (ii), we get
Hence
(ii)
Hence,
Question 16:
If occurs in the expansion of , prove that its coefficient is
Answer:
Given expression is
General terms,
If occurs in
Then
Hence, the coefficient of