If p and q be positive , then the coefficient of xp and xq in the expansion of ( 1 + x ) p+q will be
Equal
Equal in magnitude but opposite in sign
Reciprocal to each other
None of the above
The value of the expression x5 + 10 x4a + 40 x3 a2 + 80 x2a3 + 80 x a4 + 32 a5 is
(x + a)5
(3n + a)5
(x + 2a)5
(x + 2a)3
nc0 - 1/2 nc1 + 1/3 nc2 - ........ + (-1)n is equal to
n
1/n
1/(n + 1)
1/n - 1
The number of terms in the expansion (a + b + c)n will be
n + 1
n + 3
None of these
If the coefficient of 7th and 13th term in the expansion of (1 + x ) n are equal , then n is equal to.
10
15
18
20
The number of terms in the expansion of (3 + 2√5)18 - (3 - 2√5)18 is
11 terms
10 terms
9 terms
8 terms
10n + 3.4n + 2 + 5 is divisible by
3
4
9
If the ratio of the coefficient of third and fourth term in the expansion of (x - 1/2x )n is 1 : 2 , then the value of n will be
16
12
-10
For all n ∈ N, n2 + n is a
Odd natural number
Even natural number
Can't be defined
If (1 + ax)n = 1 + 8x + 24 x2 + ........ then the value of a and n is
2,4
2,3
3,6
1,2
