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The coefficients of x in the expansion...

The coefficients of `x ` in the expansion of `(x^(2)+(c)/(x))^(5)` is equal to

A

1) `10 c `

B

2) `20 c `

C

3) `10 c^(3) `

D

4) `20 c^(3) `

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The correct Answer is:
C
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(...

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  2. In the expansion of (1+x)^(n) , coefficients of 2^(text (nd )) 3^(r...

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  3. The coefficients of x in the expansion of (x^(2)+(c)/(x))^(5) is equ...

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  4. The total number of terms in the expansion of (x+y)^(100)+(x-y)^(100) ...

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  5. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

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  6. If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)+l .. .+a(12) x^(12) then a(2...

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  7. If the sum of the coefficients in the expansion of (x+y)^n is 1024 ...

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  8. The coefficient of (1)/(x) in the expansion of ((1)/(x)+1)^(n)(1+x)^...

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  9. Coefficient of x in the expansion of (x^(2)+(a)/(x))^(5)

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  10. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

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  11. Let (1+x^(2))^(2)(1+x)^(n) = sum(k=0)^(n+4) a(k) x^(k) . If a(1) , a...

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  12. The value of C(0)+3C(1)+5C(2)+7C(3)+ . . .+(2n+1)C(n) is:

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  13. The largest term in the expansion of (3+2x)^(50) where x=1/5 is:

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  14. The value of ((30),(0))((30),(10))+((30),(1))((30),(11))+((30),(2))(...

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  15. The positive integer just greater than, (1+0.0001)^(10000) is

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  16. In the binomial expansion of (a-b)^(n),nge5, the sum of the 5th and 6t...

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  17. The sum of series: ""^(20)C(0)-""^(20)C(1)+""^(20)C(2)-""^(20)C(3)+ ...

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  18. If the coefficient of x^(7) in the expansion of (ax^(2)+b^(-1)x^(-1))^...

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  19. The remainder left out when 8^(2n)-(62)^(2n+1) is divided by 9 is

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  20. The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6) is:

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