nc0 - 1/2 nc1 + 1/3 nc2 - ........ + (-1)n is equal to
n
1/n
1/(n + 1)
1/n - 1
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
If the coefficients of x2 and x3 in the expansion of (3 + ax)9 be same, then the value of a is
3/7
7/3
7/9
9/7
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
The value of (1.002)12 upto fourth place of decimal is
1.0242
1.0245
1.0004
1.0254
Tenth term of the expansion (2x - y)71 is
-220 x2 y9
220 x2 y9
220 x2 y10
-220 x3 y9
Cuberoot of 217 is
6.01
6.04
6.02
None of these
The sum of the coefficient in the expansion of (1+x - 3x2)2163 will be
0
1
-1
22163
The number of terms in the expansion of (1 + 6x + 9x2)23 is
24
46
47
48