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The coefficient of x^(4) in the expansio...

The coefficient of `x^(4)` in the expansion of `(x/2-3/x^(2))^(10)` is

A

`504/259`

B

`405/256`

C

`450/263`

D

`540/295`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The coefficient of x^(4) in the expansion of (1 + x + x^(2))^(3) is

    A
    9
    B
    21
    C
    4
    D
    6

  • The coefficient of x^(n) in the expansion of (1 - 9x + 20x^(2))^(-1) is

    A
    `5^(n) - 4^(n)`
    B
    `5^(n + 1) - 4^(n + 1)`
    C
    `5^(n - 1) - 4^(n - 1)`
    D
    `20^(n)`

  • The coefficient of x^(4) in the expansion of (5x + 1/x)^(10) is:

    A
    `10C_(3)5^(7)`
    B
    `10C_(3)5^(3)`
    C
    `10C_(7)5^(3)`
    D
    none of these

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