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JEE 2020 Mathematics : Binomial Theorem-01 (03.10.2019)
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Question 1
The coefficient of x5 in the expansion of (1 + x2)5 (1 + x)4 is
Question 2
The term independent of x in 
is
is
Question 3
The number of integral terms in the expansion of 
is
is Question 4
The co-efficient of x4 in the expansion of (1- x + 2x2)12 is
Question 5
If the coefficient of x7 in 
is equal to the coefficient of x –7 in 
, then ab =
is equal to the coefficient of x –7 in , then ab =
Question 6
The coefficient of xr
in the expression (x + 2)n-1 + (x + 2)n-2 . (x + 1) + (x + 2)n-3. (x + 1)2 + .............+ (x + 1)n-1 is
in the expression (x + 2)n-1 + (x + 2)n-2 . (x + 1) + (x + 2)n-3. (x + 1)2 + .............+ (x + 1)n-1 is Question 7
The sum C(r,r)+ C(r+1,r)+ C(r+2,r)……. C(n,r) (n
) equals
) equals Question 8
Find the solution of the given series C(100,0) + C(100,1)3/2 + C(100,2)9/3………………… upto 101 terms
Question 9
Let 
denotes the binomial coefficients in the expansion of 
. The value of 
(upto n terms) is
denotes the binomial coefficients in the expansion of . The value of (upto n terms) is Question 10
The value of r for which 20Cr20C0 + 20Cr-120C1 + 20Cr-220C2 + …… + 20C020Cr is maximum, is :
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