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If p is an integral multiple of 4 lying ...

If p is an integral multiple of 4 lying in between the coefficients of `x^(4)` and x in the expansion of `(x^(2)+(1)/(x))^(8)`, then the number of such values of p is

A

3

B

4

C

5

D

6

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The coefficient of x^(8) in the expansion of e^(3x) is

    A
    `3^(8)`
    B
    `(3^(8))/(3!)`
    C
    `(3^(8))/(8!)`
    D
    none

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

    A
    31
    B
    30
    C
    25
    D
    `-14`

  • The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is

    A
    `-81`
    B
    `-91`
    C
    81
    D
    91

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