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Prove that there is no term involving x^...

Prove that there is no term involving `x^(4)` in the expansion of `((x^(2))/(2)+1/x)^(9)`

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Knowledge Check

  • The co-efficient of x^(-9) in the expansion of ((x^(2))/(2)-(2)/(x))^(9) is

    A
    512
    B
    -512
    C
    521
    D
    251

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

    A
    1: `-12 `
    B
    2: 15
    C
    3: 24
    D
    4: `-15 `

  • The coefficient of x^(5) in the expansion of (1+x^(2))^(5).(1+x)^(4) is

    A
    30
    B
    40
    C
    60
    D
    none of these

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