18
MCQ (Single Correct Answer)
18 The total number of terms in the expansion of $(x+a)^{100}+(x-a)^{100}$ after simplification is
A
50
B
202
C
51
D
None of these
19
MCQ (Single Correct Answer)
If the integers $r>1, n>2$ and coefficients of $(3 r)$ th and $(r+2)$ nd terms in the Binomial expansion of $(1+x)^{2 n}$ are equal, then
A
$n=2 r$
B
$n=3 r$
C
$n=2 r+1$
D
None of these
20
MCQ (Single Correct Answer)
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
21
MCQ (Single Correct Answer)
The coefficient of $x^n$ in the expansion of $(1+x)^{2 n}$ and $(1+x)^{2 n-1}$ are in the ratio
A
$1: 2$
B
$1: 3$
C
$3: 1$
D
$2:1$
22
MCQ (Single Correct Answer)
If the coefficients of 2 nd , 3 rd and the 4 th terms in the expansion of $(1+x)^n$ are in AP, then the value of $n$ is
A
2
B
7
C
11
D
14