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The ratio of the coefficient of x^(10) ...

The ratio of the coefficient of `x^(10)` in `(1 - x^(2))^(10)` and the term independent of x in `(x-(2)/(x))^(10)` is 1:32.

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Prove that the ratio of the coefficient of x^(10) in (1-x^(2))^(10) & the term independent of x in (x-(2)/(x))^(10) is 1:32

If the ratio of the coefficient of x^(10) in (1-x^(2))^(10) and term independent of x in (x-2/x)^(10) is p/q (where p and q are relative prime numbers) then q/8-p is

Knowledge Check

  • The ratio of the coefficient of x^(15) to the term independent of x in the expansion of (x^(2) + (2)/(x) )^(15) is

    A
    `1:32`
    B
    `1:16`
    C
    `1:12`
    D
    `1:8`

  • The ratio of the coefficient of x^(15) to the term independent of x in the expansion of (X^(2)+(2)/(x))^(15) is

    A
    `1:8`
    B
    `1:12`
    C
    `1:16`
    D
    `1:32`

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