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The term independent of x in the expan...

The term independent of `x ` in the expansion of
`(x^(2)-(1)/(x))^(6)` is

A

1: `-12 `

B

2: 15

C

3: 24

D

4: `-15 `

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The correct Answer is:
B
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Term independent of x in (2 x^(2)+(3)/(x^(3)))^(15) is

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  2. The coefficients of the middle term in the expansion of (1+x)^(40) is

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  3. The term independent of x in the expansion of (x^(2)-(1)/(x))^(6) ...

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  4. The coefficients of x^(-n) in (1+x)^(n)(1+(1)/(x))^(n) is

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  5. The sum of the coefficients in the expansion of (1+x-3 x^(2))^(171) i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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