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If (1+x)^(n) = C(0)+C(1).x+C(2). x^(2)+...

If `(1+x)^(n) `= `C_(0)+C_(1).x+C_(2). x^(2)+..+C_(n). x^(n) ` then `C_(0)+2. C_(1)+3. C_(2)+..+(n+1). C_(n) `=

A

`2^(n)+n. 2^(n-1) `

B

`2^(n-1)+n. 2^(n) `

C

`2^(t)+(n+1) 2^(n) `

D

`2^(primeprime). 1+(n-1) 2^(n) `

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The correct Answer is:
A
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
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  3. If (1+x)^(n) = C(0)+C(1).x+C(2). x^(2)+..+C(n). x^(n) then C(0)+2. ...

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  4. In the expansion of (1+x)^(n) the coefficients of pth and (p+1)^(t...

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  5. The coefficient of x^(5) in the expansion of (x^(2)-x-2)^(5) is

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  6. The first three terms in the expansion of (1+a x)^(n ne 0) are 1,6 x...

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  7. The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

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  9. The number of integral terms in the expansion of (sqrt(3)+root(8)(5))^...

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  10. If the coefficient of rth, (r+1)th and (r+2)th terms in the binomial e...

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  11. If the coefficient of x^(7) in [ax^(2)+((1)/(bx))]^(11) equals the coe...

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  12. Let nge5 and bne0. In the binomial expansion of (a-b)^(n), the sum of ...

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  13. The coefficient of x^(53) is sum(r=0)^(100) 100 C(r).(x-3)^(100-r). ...

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  15. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is:

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  16. In the expansion of (1+x)^(50), the sum of the coefficients of odd pow...

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  18. The coefficient of the term independent of x in the expansion of (sqrt...

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