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If (1+2x+x^(2))^(n) = underset(r=0)overs...

If `(1+2x+x^(2))^(n) = underset(r=0)overset(2n)suma_(r)x^(r)`, then `a_(r) = `

A

0

B

`""^(n)C_(r)`

C

`a_(r)`

D

1

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VK JAISWAL ENGLISH-BIONMIAL THEOREM-Exercise-4 : Subjective Type Problems
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  3. In the polynomial (x-1)(x^(2)-2)(x^(3)-3)…(x^(11)-11), the coefficient...

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  4. If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)br(x-3)^ra n dak=1 for all kgeq...

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

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

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

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

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

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

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

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  14. Let the sum of all divisiors of the form 2^(p)*3^(q) (with p, q posit...

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  15. about to only mathematics

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