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The number of rational terms in the expa...

The number of rational terms in the expansion of `(1+sqrt(2)+ root(3)(3))^6` is

A

7

B

11

C

12

D

12

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-SOLVED EXAMPLES ( LEVEL 2 Single Correct Answer Type Questions)
  1. If x^(n) = a(0) + a(1) (1 + x) + a(2)(1 + x)^(2) + .. .+ a(n) (1 +x)^(...

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  2. The number of rational terms in the expansion of (1+sqrt(2)+ root(3)(3...

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  3. The sum to (n+1) terms of the series C0/2-C1/3+C2/4-C3/5+......=

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  4. E=(3^(log(3)sqrt(9^(|x-2|)))+7^((1/5)log(7)(4).3^(|x-2|)-9 ))^(7)

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  5. Let a(n) denote the term independent of x in the expansion of [x+(sin(...

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  6. Find the largest term in the expansion of (3+2x)^(50),w h e r ex=1//5.

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  7. If n is odd, then sum of the series C(0)^(2)-C(1)^(2)+C(2)^(2)-C(2)^(3...

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  8. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + …+ C(n) x^(n) , prove t...

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  9. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + ... + C(n) x^(n), then v...

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  10. If C(r) stands for ""^(n)C(r), then the sum of the series (2((n)/(2))!...

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  11. The sum of coefficients of integral powers of x in the binomial exp...

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  12. Given that the 4th term in the expansion of [2+(3//8x)]^(10) has the m...

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  13. Assuming x to be so small that x^(3) and higher powers of x can be neg...

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  14. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...

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  15. Coefficient of x^(11) in the expansion of (1+x^2)(1+x^3)^7(1+x^4)^(12)...

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  16. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

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  17. Sum of the series sum(k=0)^(n)""^(n)C(k)(-1)^(k)1/(a(k)) where a(k...

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  18. Suppose m and n are positive integers and let S=sum(k=0)^n (-1)^k 1/(...

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  19. Coefficient of x^(m) in the expansion of S = (1 + x)^(2m) + x(1 +·x)...

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  20. Sum of the first 20 terms of the series 1/((2)(4))+((1)(3))/((2)(4)(...

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