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If the rth term in the expansion of (1+x...

If the rth term in the expansion of `(1+x)^20` has its coefficient equal to that of the (r+ 4)th term, find r

A

7

B

9

C

11

D

13

Text Solution

Verified by Experts

The correct Answer is:
b
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Knowledge Check

  • Find the r^(th) term in the expansion of (1+x)^(n) .

    A
    `""^(n) C_(r) X^(r )`
    B
    `""^(n) C_(r-1) x^(r-1)`
    C
    `""^(n) C_(r-1) x^(r )`
    D
    `""^(n) C_(r ) x^(x-1)`

  • Find the r^(th) term in the expansion of (1+x)^(2n) .

    A
    `""^(2n) C_(r) x^(r)`
    B
    `""^(2n) C_(r-1) x^(2n -r)`
    C
    `""^(2n) C_(r-1) x^(r-1)`
    D
    `""^(2n) C_(r)`

  • If the coefficient of (r +1)^(th) term in the expansion of (1 +x)^(2n) be equal to that of (r + 3)^(th) term , then

    A
    `n - r+1 = 0`
    B
    `n-r -1=0`
    C
    `n+r +1 =0`
    D
    none of these

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