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The middle term in the expansion of (x +...

The middle term in the expansion of `(x + 1/x)^(2n)` is

A

`""^(2n)C_n`

B

`""^(2n)C_nx `

C

`(""^(2n)C_n)/(x)`

D

`""^(2n)C_(n-1)x `

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If the middle term in the expansion of (1+x)^(2n) is the greatest term, then x lies in the interval

    A
    `((n)/(x+1), (n+1)/(n))`
    B
    `((n+1)/(n), (n)/(n+1))`
    C
    `(n-2, n )`
    D
    `(n-1, n )`

  • If the middle term in the expansion of (1+x)^(2n) is the greatest term , then x lies in the interval

    A
    `((n)/(n+1),(n+1)/(n))`
    B
    `((n+1)/(n),(n)/(n+1))`
    C
    `(n-2,n)`
    D
    `(n-1,n)`

  • If 'a' is the coefficient of the middle term in the expansion of (1 + x)^(2n) and b,c are the coefficients of two middle terms in the expansion of (1 + x)^(2n -1) then

    A
    a + b = c
    B
    `a = b+ c
    C
    b= c+a
    D
    b + c = 2a

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