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The terms independent of x in (3/2(x^2)-...

The terms independent of x in `(3/2(x^2)-1/(3x))^9` is

A

`T_5`

B

`T_6`

C

`T_7`

D

None of these

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The correct Answer is:
C
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. If (1+x)^n=a0+a1x+a2x^2+…….+anx^n then prove that (1+(a/a0))(1+(a2)/(a...

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  2. Prove that the following identity about binomial coefficients ((n),(0)...

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

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  4. The 10^(th) term in the expansion of (2x^2+1/x)^(12) is

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  5. If the 6th term in the expansion of (1/x^(8//3)+x^2log(10)x)^8 is 5600...

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  6. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

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  7. The sum of series ,^20C0-^20C1+^20C2-^20C3+.....+ ^20C10 is

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  8. ^8C2+^8C3+^8C4+....^8C7 is equal to

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  9. .^18C15+2(.^18C16)+^17C16+1=^nC3, then n is equal to

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  10. The value of 1^2cdotC1+3^2cdotC3+5^2cdotC5+......, is

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  11. Let [x] denotes the greatest integer less then or equal to x. If x=(sq...

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  12. The fractional part of =(2^(4n))/15 is

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  13. If p=(8+3sqrt7)^n and f=p-[p], where [.] denotes the greatest integer ...

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  14. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is

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  15. If n in N then value of S=sum(r=0)^n(-1)^r((^nCr)/(^(r+2)Cr)) is

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  16. The value of the expression .^47C4 + sum(j = 1)^5.^(52 - j)C3 is equal...

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  17. The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+.....oo

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  18. Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.

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  19. If an=sum(r=0)^n1/(^nCr) , then sum(r=0)^nr/(^nCr) equals

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  20. The number of real negative terms in the binomial expansion of (1+ix)^...

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