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The index 'n' of the binomial (x/5+2/5)^...

The index 'n' of the binomial `(x/5+2/5)^n` if the only `9^(th)` term of the expansion has numerically the greatest coefficient `(n in N)`, is

A

11

B

12

C

13

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The greatest coefficient in the expansion of (1+x)^(2n) is :

    A
    `^(2n)C_n`
    B
    `^(2n)C_(n+1)`
    C
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    D
    `^(2n)C_(2n-1)`

  • The greatest coefficient in the expansion of (1+x)^(2n) is

    A
    `(1cdot3cdot5cdot....cdot(2n-1))/(n!)cdot2^n`
    B
    `^(2n)C_(n-1)`
    C
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    D
    None of these

  • The interval in which x must lie so that the greatst term in the expansion of (1 +x)^(2n) has the greatest coefficient,is

    A
    `((n-1)/(n),(n)/(n-1))`
    B
    `((n)/(n+1),(n+1)/(n))`
    C
    `((n)/(n+2),(n+2)/(n))`
    D
    none of these

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