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In the expansion of (x^3-1/x^2)^n, n in ...

In the expansion of `(x^3-1/x^2)^n, n in N` if sum of the coefficients of `x^5` and `x^(10)` is 0 then `n` is

A

455

B

105

C

605

D

120

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If in the expansion of (x^(3)-1/(x^(2)))^(n) the sum of the coefficients of x^(5) and x^(10) is 0, then the coefficient of x^(20) is:

    A
    `""^(20)C_(6)`
    B
    `-""^(20)C_(6)`
    C
    `""^(15)C_(5)`
    D
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  • If in the expansion of (1 + ax)^(n),n in N, the coefficient of x and x^(2) are 8 and 24 respectively, then

    A
    a = 2, n=4
    B
    a = 4, n=2
    C
    a = 2, n=6
    D
    a = -2, n=4

  • If the sum of the coefficients in the expansion of (1-3x+10x^(2))^(n) is A and if the sum of the coefficients in the expansion of (1+x^(2))^(n) is B, then

    A
    A=3B
    B
    `A=B^(3)`
    C
    `B=A^(3)`
    D
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