# 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

**Short Answer Type**

**Question 1**:

Find the term in the expansion of

**Answer**:

We have

**Question 2**:

Expand the following

**Answer**:

Put Then

**Question 3**:

Find the 4^{th} term from the end in the expansion of

**Answer**:

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

**Question 4**:

Evaluate:

**Answer**:

Putting , we get

The given expression

**Question 5**:

Find the coefficient of in the expansion of

**Answer**:

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 ?

**Answer**:

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

**Answer**:

Let term be independent of which is given by

Since the term is independent of , we have

Hence term is independent of *x* and its value is given by