# NCERT Class 11-Math՚S: Chapter – 8 Binomial Theorem Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 13**:

Which of the following is larger?

**Answer**:

We have

Similarly

Subtracting (2) from (1) , we get

Hence

**Question 14**:

Find the coefficient of after simplifying and collecting the like terms in the expansion of

**Answer**:

Since the above series is a geometric series with the common ratio its sum is

Hence, coefficient of is given by

**Question 15**:

If and are the coefficient of any four consecutive terms in the expansion of , prove that

**Answer**:

Let and be the coefficient of four consecutive terms and respectively. Then

And

Thus

Similarly,

Hence,

And

## Objective Type Questions (M. C. Q)

**Question 16**:

The total number of terms in the expansion of after simplification is

(a)

(b)

(c)

(d) None of these

**Answer**:

C is the correct choice since the total number of terms are of which terms get cancelled.