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The term independent of x (x gt 0 , x ne...

The term independent of x `(x gt 0 , x ne 1)` in the expansion of `[((x+1))/((x^(2//3) -x^(1//3)+1))-((x-1))/((x-sqrtx))]^10` is

A

105

B

210

C

315

D

420

Text Solution

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. The term independent of x in the expansion of (1+x+2x^3) (3x^2//2-1//3...

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  2. the tern independent of x in (1+x +2x^2)(3x^2//2-1//3x)^9 is

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  3. The term independent of x (x gt 0 , x ne 1) in the expansion of [((x+...

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  4. If the absolute term (independent of x ) in the expansion of (sqrtx-k/...

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  5. The greatest value of the term independent of x, as alpha varies over ...

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  6. If Tr denotes the rth term in the expansion of (x+1//y)^23 then

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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