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

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

A

`(1.3.5.....(2n-3))/(n!)`

B

`(1.3.5....(2n-1))/(n!)`

C

`(1.3.5....(2n+1))/(n!)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The middle term in the expansion of (x- (1)/(x))^(18) is

    A
    `""^(18)C_(9)`
    B
    `-""^(18)C_(9)`
    C
    `""^(18)C_(10)`
    D
    `-""^(18)C_(10)`

  • The middle term in the expansion of (x-(1)/(2y) )^(10) is-

    A
    `(-63)/(8) x^(5) y^(-5)`
    B
    `(-21)/(4) x^(6) y^(-6)`
    C
    `(63)/(8) x^(4) y^(-4)`
    D
    `(-63)/( 8) x^(4) y^(-4)`

  • The middle term in the expansion of ( x - (1)/(2y) )^(10) is

    A
    `( - 63)/(8) x^(5) y^(-5)`
    B
    `(-21)/(4) x^(6) y^(-6)`
    C
    `(63)/(8) x^(4) y^(-4)`
    D
    `(-63)/(8) x^(4) y^(-4)`

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