NCERT Class 11-Math's: Chapter –8 Binomial Theorem Part 2

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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 4th term from the end in the expansion of

Answer:

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:

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

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