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The number of terms which are free from ...

The number of terms which are free from radical signs in the expansion of `(y^(1//5)+x^(1//10))^55` is

A

5

B

6

C

7

D

none

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Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. If Tr denotes the rth term in the expansion of (x+1//y)^23 then

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  2. Which of the following expansion will have term containing x^3 ?

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  3. The number of terms which are free from radical signs in the expansion...

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  4. The number integral terms in the expansion of (sqrt3+root(8)(5))^256 i...

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  5. The sum of the rational terms in expansion of (sqrt2+3^(1//5))^10 is

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  6. the number of irrational terms in (root(8)(5)+root(6)(2))^100 is

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  7. The sum of the coefficient of x^32 and x^-17 in (x^4-(1)/(x^3))^15 is

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  8. If ab ne 0 and the sum of the coefficient of x^7 and x^4 in the expans...

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  9. If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient...

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  10. If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient...

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  11. In the binomial expansion of (a-b)^n, n ge 5, the sum of 5th and 6th t...

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  12. If the coefficient of rth and (r+1)th terms in the expansion of (3+7x)...

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  13. If the coefficient of rth term and (r+1)th term in the expansion of (...

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  14. If in the expansion of (1-x)^(2n-1), the coefficient of x^r is denoted...

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  15. If the second term in the expansion (root(13)(a)+(a)/(sqrt(a^-1)))^(n)...

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  16. If the coefficient of x in (x^2+k//x)^5 is 270 then k=

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  17. If the coefficient of x^2 and x^3 in (3+kx)^9 are equal then k=

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  18. If the coefficient of x^7 and x^8 in (2+x//3)^n are equal then n=

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  19. If the coefficients of (2r+1)th term and (4r+5)th term in the expansi...

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  20. If the 5th term is 24 times the 3rd term in the expansion of (1+x)^11...

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