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A Short Test on Binomial Theorem

Given positive integers r> 1,n>2 and that the coefficient of (3r)th (r + 2)th terms in the binomial expansion of (1+x)2n are equal. Then
n= 2x
n =2r+1
n= 3r
None of these
If in the expansion of (1+x)m (1-x)n, the coefficinents of x and x2 are 3 and-6 respectively, the m is
6
9
12
24
 ____.
n
1/n
The value of  is ____.
– 198
198
99
– 99
The coefficient of  in the expansion of  is ____.
30
60
40
None of the above
If the coefficient of x in the expansion of  is 270, then k = ____.
1
2
3
4
The coefficients of three successive terms in the expansion of  are 165, 330 and 462 respectively, then the value of n is ____.
11
10
12
8
The term independent of y in the expansion of  is ____.
84
8.4
0.84
– 84
Description:

The Test contains some Basic Question on finding the Co-Efficient. It gives a Good Practice for using the Formula.

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Kajal Sengupta
Physics teacher of 9th to 12 th grade,A, AS level
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