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If r^(th) term is middle term in (x^2 -...

If `r^(th)` term is middle term in `(x^2 - (1)/(2x))^20` then `(r+ 3)^(th)` term is

A

`(""^20C_7 x)/(2^13)`

B

`-( (""^20C_5x)/(4^13))`

C

`- ((""^20C_7x)/(2^13))`

D

`- ((""^20C_14x)/(4^13))`

Text Solution

Verified by Experts

The correct Answer is:
C
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If the k^(th) term is the middle term in (x^2 - (1)/(2x))^20 find T_k and T_(k+3)

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Knowledge Check

  • The middle term of (x+(1)/(x))^(2n) is

    A
    `(1.3.5….(2n-1)2^n)/(n!)`
    B
    `((2n)!)/(n!)`
    C
    `((3n)!)/((n!)^2)`
    D
    `(1.3.5…(2n-1))/((n!)^2)`

  • The 4th term of (x+(2)/(x^3))^6 is

    A
    `""^6 C_3 (x)^3 ((2)/(x^2))^2`
    B
    `""^6 C_3 (x)^3 ((2)/(x^3))^3`
    C
    `""^6 C_3 (x)^2 ((2)/(x^3))^2`
    D
    `""^6 C_3 (x)^2 ((2)/(x^3))^3`

  • 5th term of (2x^2+(3)/(x))^5 is 10. Then x=

    A
    `pm 3`
    B
    3
    C
    `pm 9`
    D
    9

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