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The constant term in the expansion of (x...

The constant term in the expansion of `(x+(1)/(x^(3)))^(12)` is :

A

26

B

169

C

260

D

220

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The correct Answer is:
D
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VIKAS GUPTA (BLACK BOOK) ENGLISH-BIONMIAL THEOREM-Exercise-4 : Subjective Type Problems
  1. The constant term in the expansion of (x+(1)/(x^(3)))^(12) is :

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  2. The sum of series 3*""^(2007)C(0)-8*""^(2007)C(1)+13*""^(2007)C(2)-18...

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  3. In the polynomial function f(x)=(x-1)(x^(2)-2)(x^(3)-3)……..(x^(11)-11...

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  4. If 3^(101)-2^(100) is divided by 11, the remainder is

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  5. Find the hundred's digit in the co-efficient of x^(17) in the expansio...

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  6. Let x=(3sqrt(6)+7)^(89). If {x} denotes the fractional part of 'x' the...

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  7. Let n in N, Sn=sum(r=0)^(3n)^(3n)Cr and Tn=sum(r=0)^n^(3n)C(3r), then ...

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  8. Find the sum of possible real values of x for which the sixth term of ...

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  9. Let q be a positive with q le 50. If the sum ""^(98)C(30)+2" "^(97)C...

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  10. The remainder when (sum(k=1)^(5) ""^(20)C(2k-1))^(6) is divided by 11,...

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  11. Let a=3^(1/(223))+1 and for all geq3,l e tf(n)=^n C0dota^(n-1)-^n C1do...

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  12. In the polynomial (x-1)(x^(2)-2)(x^(3)-3)…(x^(11)-11), the coefficient...

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  13. Let the sum of all divisior of the form 2^(p)*3^(q) (with p, q positi...

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  14. Find the sum of possible real values of x for which the sixth term of ...

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  15. Let 1+sum(r=1)^(10)(3^r.^(10)Cr+r.^(10)Cr)=2^(10)(alpha. 4^5+beta) whe...

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  16. If S(n) = ""^(n)C(0) ""^(n)C(1) + ""^(n)C(1) ""^(n)C(2) + ...+ ""^(n)...

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