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find the term independent of 'x' in the expansion of `(1+x+x^2)(3/2 x^2 - 1/(3x))^9`

A

`(1)/(3)`

B

`(19)/(54)`

C

`(17)/(54)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The term independent of x in the expansion of ((3)/(2) x^(2) - (1)/(3x) )^(9) is

    A
    `(1)/(24)`
    B
    `(7)/(18)`
    C
    `(8)/(24)`
    D
    `(5)/(36)`

  • Find the term independent of x in the expansion of ((3)/(2) x^(2) - (1)/(3x ))^6 is-

    A
    `(3)/(2)`
    B
    `(5)/(12)`
    C
    `(12)/(5)`
    D
    `(1)/(2)`

  • The term independent of x in the expansion of (3/2x^2-1/(3x))^6 is

    A
    `5/13`
    B
    `5/12`
    C
    14
    D
    `1/12`

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    Find the term independent of x in the expansion of (1+x+2x^(3))[(3x^(2)/2)-(1/3x)]^(9)

    The term independent of x in the expansion of (1+2x+(2)/(x))^(3) is

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