# NCERT Class 11-Math՚s: Chapter – 8 Binomial Theorem Part 9 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 17**:

Find the term independent of *x* in the expansion of

**Answer**:

Given expression is

Let us consider

General Term

So, the general term in the expansion of

For getting the term independent of x,

Put

The possible value of and and

The term independent of is

Hence, the required term

## Objective Type Questions

Choose the correct answer from the given options in each of the Exercises 18 to 24 (M. C. Q.) .

**Question 18**:

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

(A)

(B)

(C)

(D) None of these

**Answer: (C)**

**Question 19**:

Given the integers , and coefficients of and terms in the binomial expansion of are equal, then

(A)

(B)

(C)

(D) None of these

**Answer: (A)**

**Question 20**:

The two successive terms in the expansion of whose coefficients are in the ratio 1: 4 are

(A) 3^{rd} and 4^{th}

(B) 4^{th} and 5^{th}

(C) 5^{th} and 6^{th}

(D) 6^{th} and 7^{th}

**Answer: (C)**

**Question 21**:

The coefficient of in the expansion of and are in the ratio.

(A)

(B)

(C)

(D)

[**Hint**:

**Answer: (D)**

**Question 22**:

If the coefficients of 2^{nd}, 3^{rd} and the 4^{th} terms in the expansion of are in A. P. , then value of is

(A)

(B)

(c)

(D)

[**Hint**:

**Answer: (B)**