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Find the position of the term independen...

Find the position of the term independent of x in the expansion of `(sqrt(x/3)+(3)/(2x^(2)))^(10)`.

A

`(9)/(4)`

B

`(3)/(4)`

C

`(5)/(4)`

D

`(7)/(4)`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Chapter Test
  1. Find the numerically grates term in the expansion of 3-5x^(15)w h e nx...

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  2. In the expansion of (1+x)^(50), find the sum of coefficients of odd po...

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  3. Find the position of the term independent of x in the expansion of (sq...

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  4. If the coefficients of x^(7) and x^(8) in the expansion of (2+x/3)^(n)...

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  5. If the rth term in the expansion of (x/3-2/x^(2))^(10 contains x^(4), ...

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  6. If the third in the expansion of [x + x^(logx)]^(6) is 10^(6) , th...

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  7. the value of x , for which the 6th term in the expansions of[2^log2sqr...

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  8. If the coefficients of (p+1)th and (P+3)th terms in the expansion of (...

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  9. about to only mathematics

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  10. The value of C(0)+3C(1)+5C(2)+7C(3)+….+(2n+1)C(n) is equal to :

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  11. Find the following sum : (1)/(n!) + (1)/(2!(n-2)!) + (1)/(4!(n-4)!)+...

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  12. The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x...

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  13. If (1 + x - 2 x^(2))^(6) = 1 + C(1) x + C(2) x^(2) + C(3) x^(3) + …+ C...

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  14. Find the ratio of the coefficient of x^(15) to the term independent of...

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  15. Find the number of terms in the expansion of (x+y+z)^(n).

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  16. In the expansion of (1+x)^30 the sum of the coefficients of odd powers...

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  17. In the expansion of (x^(2) + 1 + (1)/(x^(2)))^(n), n in N,

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  18. The term independent ofx in the expansion of (1+x)^10*(1+1/x)^10 is

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

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  20. The middle term in the expansion of (1 - (1)/(x))^(n) (1 - x)^(n) is

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