# NCERT Class 11-Math՚s: Chapter – 8 Binomial Theorem Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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## 8.2 Solved Examples

Question 1:

Find the term in the expansion of

We have

Question 2:

Expand the following

Put Then

Question 3:

Find the 4th term from the end in the expansion of

Since term from the end in the expansion of is term from the beginning. Therefore 4th term from the end is , i.e.. , 7th term from the beginning, which is given by

Question 4:

Evaluate:

Putting , we get

The given expression

Question 5:

Find the coefficient of in the expansion of

Let the general term, i.e.. , contain

We have

Now for this to contain , we observe that

Thus, the coefficient of is

Question 6:

Determine whether the expansion of will contain a term containing ?

Let contain Then

Thus,

Since is a fraction, the given expansion cannot have a term containing .

Question 7:

Find the term independent of in the expansion of