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Find the coefficient of x^(10) in the ex...

Find the coefficient of `x^(10)` in the expansion of `(1+2x)/((1-2x)^(2))`.

A

`r. 2^r`

B

`(2r-1) 2^r`

C

`r. 2^(2r+1)`

D

`(2r+1) 2^r`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1C (BINOMIAL THEOREM WITH RATIONAL INDEX)
  1. The coeff. Of x^2 in (1+x^2)/((1-x)^3) is

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  2. The coefficient of x^n in ((1+x)^2)/((1-x)^2) is

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  3. Find the coefficient of x^(10) in the expansion of (1+2x)/((1-2x)^(2))...

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  4. The coefficient of x^n in ((1+x)^n)/(1-x) where n in N is

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  5. If 0 lt x lt 1, the first negative term in the expansion of (1+x)^(27/...

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  6. If x is so small that x^2 and higher powers of x may be neglected then...

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  7. If x is numerically so small so that x^2 and higher powers of x can be...

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  8. If x is so small that x^2 and higher powers of x may be neglected then...

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  9. If |x| is so small that x^2 and higher powers of x may be neglected, t...

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  10. If x is small so that x^2 and higher powers can be neglected, then the...

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  11. The coefficients of x^3 in ((1-4x)^2 (1-2x^2)^(1//2))/((4-x)^(3//2)) i...

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  12. If x is so small, higher powers of x may be neglected then sqrt(x^2 + ...

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  13. If x is so small, higher powers of x may be neglected then root(3)(x^2...

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  14. If a is small in comparison with x, then ((x)/(x+a))^(1//2) + ((x)/(x-...

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  15. If a is small in comparison with x, then ((x)/(x+a))^(1//3) - ((x)/(x-...

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  16. If sqrt([(x)/(x-1)])=a0 + (a1)/( x-1) + (a2)/((x-1)^2)+…..... where x...

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  17. If (a+bx)^(-3) = (1)/(27) + (1)/(3) x + ….. then the ordered pair (a, ...

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  18. If p and q are the coefficients of x^n in (1+x)^(2n) and (1-4x)^(-1//2...

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  19. (8.8)^(1//3) =

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  20. root(3)(1003)-root(3)(997)=

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