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Coefficient of the constant term in the expansion of `E = (x^(2//3) + 4x^(1//3) + 4)^5(1/(x^(1//3)-1)+1/(x^(2//3)+x^(1//3)+1))^-9` is

A

74

B

98

C

148

D

168

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-SOLVED EXAMPLES ( LEVEL 1 Single Correct Answer Type Questions)
  1. If P(x)=1/(sqrt(3x+1))[((1+sqrt(3x+1))/5)^(n)-((1-sqrt(3x+1))/5)^(n)] ...

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  2. The two consecutive terms whose coefficients in the expansion of (3 + ...

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  3. Coefficient of the constant term in the expansion of E = (x^(2//3) + 4...

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  4. The coefficient of x^(4) in the expansion of (1+x+x^(2))^(6) is

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  5. Coefficient of x^(17) in the polynomial P(x)=prod(r=0)^(17)(x+""^(35)C...

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  6. The coefficient of x^(20) in the expansion of (1+1/(1!)x+1/(2!)x^(2)+…...

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  7. The coefficient of x^(7) in the expansion of (1+1/(1!)x+1/(2!)x^(2)+1/...

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  8. Sum of the series sum(k=1)^(oo)sum(r=0)^(k)(2^(2r))/(7^(k))(""^(k)C(r)...

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  9. If the 6th term from the beginning is equal to the 6th term from the e...

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  10. If the coefficients of x^7 and x^8 in the expansion of [2 +x/3]^n a...

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  11. In the expansion of (x^(3) - (1)/(x^(2)))^(15) , the constant term,i...

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  12. If the 4 th term in the expansion of (a x + (1)/(x))^(n) is (5)/(2)...

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  13. If the 6th term in the expansion of [1/x^(8/3)+x^2 log10 x]^8 is 5600...

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  14. If the (r + 1)th term in the expansion of ((a^(1//3))/(b^(1//6))+(b^(1...

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  15. If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) a...

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  16. If x^(2k) occurs in the expansion of (x+1/(x^(2)))^(n-3), then

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  17. The coefficient of the term independent of x in the exampansion of ((x...

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  18. If (1+ x)^(n) = C(0) + C(1) x + C(2)x^(2) + ...+ C(n)x^(n) , prove tha...

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  19. (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + C(3) x^(3) + … + C(n) x^(n)...

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  20. If n in N, n > 1, then value of E= a - ""^(n)C(1) (a-1) + ""^(n)C(2) (...

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