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The coefficient of x^(5) in the expansi...

The coefficient of `x^(5)` in the expansion of
`(x^(2)-x-2)^(5)` is

A

1) `-83 `

B

2) `-82 `

C

3)`-81 `

D

4)0

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. If (1+x)^(n) = C(0)+C(1).x+C(2). x^(2)+..+C(n). x^(n) then C(0)+2. ...

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  2. In the expansion of (1+x)^(n) the coefficients of pth and (p+1)^(t...

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  3. The coefficient of x^(5) in the expansion of (x^(2)-x-2)^(5) is

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  4. The first three terms in the expansion of (1+a x)^(n ne 0) are 1,6 x...

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  5. The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

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  6. The coeffient of the middle term in the binomial expansion in powers o...

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  7. The number of integral terms in the expansion of (sqrt(3)+root(8)(5))^...

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  8. If the coefficient of rth, (r+1)th and (r+2)th terms in the binomial e...

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  9. If the coefficient of x^(7) in [ax^(2)+((1)/(bx))]^(11) equals the coe...

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  10. Let nge5 and bne0. In the binomial expansion of (a-b)^(n), the sum of ...

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  11. The coefficient of x^(53) is sum(r=0)^(100) 100 C(r).(x-3)^(100-r). ...

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  12. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^...

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  13. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is:

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  14. In the expansion of (1+x)^(50), the sum of the coefficients of odd pow...

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  15. Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd te...

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  16. The coefficient of the term independent of x in the expansion of (sqrt...

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  17. The coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(...

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  18. In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(r...

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  19. The coefficients of x in the expansion of (x^(2)+(c)/(x))^(5) is equ...

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  20. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

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