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
If (1 + ax)n = 1 + 8x + 24 x2 + ........ then the value of a and n is
2,4
2,3
3,6
1,2
The expansion of by binomial theorem will be valid if
x < 1
|x| < 1
-2/√3 < x < 2/√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 sum of the coefficient in the expansion of (1+x - 3x2)2163 will be
0
1
-1
22163
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 (0.99)15 is
0.8432
0.8601
0.8502
If in the expansion of (1 + x )n , the coefficient of rth and (r + 2)th term be equal , then r is equal to
2n
n/2
Cube root of 217 is
6.01
6.04
6.02
The value of (1.002)12 upto fourth place of decimal is
1.0242
1.0245
1.0004
1.0254