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The sum of the rational terms in the exp...

The sum of the rational terms in the expansion of `(sqrt(2) + 3^(1/5))^(10)` is

A

41

B

32

C

18

D

9

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
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  2. If |x| lt 1, then the coefficient of x^(n) in (1 + 2x + 3x^(2) + 4x^(3...

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  3. The sum of the rational terms in the expansion of (sqrt(2) + 3^(1/5))^...

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  4. if (1 + C(1)/C(0))(1 + C(2)/C(1)) (1 + C(3)/C(2)) ...... (1 + C(n)/C(n...

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  5. In the expansion of (1 + 3x + 2x^(2))^(6) the coefficient of x^(n) is

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  6. If (2x^(2) - x - 1)^(5) = a(0) + a(1)x + a(2)x^(2) + ....... + a(10)x^...

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  7. If (1 + x - 3x^(2))^(10) = a(0) + a(1)x + a(2)x^(2) + ....... + a(20)x...

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  8. (i) What is the second term in the expansion of (1 + x)^(n)? (ii) Wr...

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  9. The coefficient of a^(5)b^(6)c^(7) in the expansion of (bc + ca + ab)^...

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  10. If the expansion of (3sqrt(x)/7 - 5/(2xsqrt(x)))^(13n) contains a term...

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  11. Prove that ""^(10)C(2)+2xx^(10)C(3)+^(10)C(4)=^(12)C(4)

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  12. Let f (x) = [x] , where [x] denotes the greater integer less t...

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  13. If ninN,"then "3^(2n+2)-8n-9 is divisible by

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  14. Let T(n) denote the number of triangles which can be formed by using t...

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  15. The coefficient of the middle term in the expansion of (x + 2y)^(6) is

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  16. Let (1 + x)^(n) = 1 + a(1)x + a(2)x^(2) + ... + a(n)x^(n). If a(1),a(2...

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  17. If the sum of the coefficients in the expansion of (a^(2)x^(2) - 6ax +...

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  18. The sum of coefficients in the expansion of (x^(2) - 1/3)^(199) xx (x^...

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  19. If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n), then the ...

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  20. Which one of the following is true?

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