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The term independent of x in the expansi...

The term independent of x in the expansion of `(sqrtx-(2)/(sqrtx))^18` is

A

`(""^18C_9)2^12`

B

`(""^18C_6)2^6`

C

`("^18C_6)2^8`

D

`-(""^18C_9) 2^9`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The term independent of x in (2x^(1//2)-3x^(-1//3))^20

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  2. The term independent of x in ((sqrtx)/(2)-(2)/(x^2))^10 is

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  3. The term independent of x in the expansion of (sqrtx-(2)/(sqrtx))^18 i...

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  4. The term independent of x in the expansion of (2x^2-(3)/(x^3))^15 is

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  5. The term independent of x in (x^2 -1//3x)^9 is

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  6. Independent term of (sqrtx-2//x)^18 is

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  7. The term independent of x in the expansion of ((2sqrtx)/(5)-(1)/(2xsqr...

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  8. The term independent of x in (x-1//x^2)^(3n) is

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

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

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

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

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

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

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

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

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

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

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

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

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