NCERT Exemplar Solutions
Class 11 - Mathematics - Chapter 8: BINOMIAL THEOREM
Objective Type Question

Choose the correct answer from the given four options:

Question. 18

The total number of terms in the expansion of \( (x + a)^{100} + (x - a)^{100} \) after simplification is

(A)

(B)

202

(C)

(D)

none of these

Question. 19

Given the integers \(r > 1, n > 2\), and coefficients of \((3r)^{th}\) and \((r+2)^{nd}\) terms in the binomial expansion of \((1 + x)^{2n}\) are equal, then

(A)

\(n = 2r\)

(B)

\(n = 3r\)

(C)

\(n = 2r + 1\)

(D)

none of these

Question. 20

The two successive terms in the expansion of \((1 + x)^{24}\) 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

Question. 21

The coefficient of \(x^{n}\) in the expansion of \((1 + x)^{2n}\) and \((1 + x)^{2n-1}\) are in the ratio

(A)

1 : 2

(B)

1 : 3

(C)

3 : 1

(D)

2 : 1

Question. 22

If the coefficients of 2nd, 3rd and the 4th terms in the expansion of \((1 + x)^{n}\) are in A.P., then value of \(n\) is

(A)

(B)

(C)

(D)

Question. 23

Choose the correct statement regarding the binomial identities (question text from source).

(A)

Option A

(B)

Option B

(C)

Option C

(D)

Option D

Question. 24