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The term independent of x in (1+x)^(m)(1...

The term independent of x in `(1+x)^(m)(1+1/x)^(n)` is :

A

`C_(0)""^(2)+ 2C_(1)""^(2)+ 3*C_(2)""^(2)+...+(n+1)C_(n)""^(2)`

B

`(C_(0) + C_(1) + …+C_(n) )^(2)`

C

`C_(0) + C_(1)""^(2) + … + C_(n))^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The ratio of the coefficient of x^(3) to the term independent of x in (2x+1/(x^(2)))^(12) is

    A
    `9:8`
    B
    `8:9`
    C
    `8:1`
    D
    `9:1`
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