NCERT Class 11-Math's: Chapter –8 Binomial Theorem Part 9

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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) 3rd and 4th

(B) 4th and 5th

(C) 5th and 6th

(D) 6th and 7th

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

(A)

(B)

(c)

(D)

[Hint:

Answer: (B)

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