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(x^(3)-5)/(x^(2)-3x+2)=...

`(x^(3)-5)/(x^(2)-3x+2)=`

A

`x+3-4/(x-1)-3/(x-2)`

B

`x+3+4/(x-1)+3/(x-2)`

C

`x-3+4/(x-1)+3/(x-2)`

D

`x-3+4/(x-1)-3/(x-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
  1. Resolvex^(3)/((2x-1)(x+2)(x-3)) into Partial fractions.

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  2. x^(3)/((2x-1)(x+2)(x-3))=A+B/(2x-1)+C/(x+2)+D/(x-3) rArr A =

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  3. (x^(3)-5)/(x^(2)-3x+2)=

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  4. If (x^(2)+x+1)/(x^(2)+2x+1)=A+B/(x+1)+C/(x+1)^(2) then A - B =

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  5. ((x-a)(x-b))/((x-c)(x-d))=A/(x-c)-B/(x-d)+C rArr C=

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  6. If A/(x-1)+B/(x+1)=(6x)/(x^(2)-1), then A =

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  7. (2x-1)/((x-1)(2x+3))=1/(5(x-1))-k/(5(2x+3)), then k =

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  8. If (5x+6)/((2+x)(1-x))=11/(3(1-x))+y then y =

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  9. If (3x+4)/(x^(2)-3x+2)=A/(x-2)-B/(x-1) then (A, B) =

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  10. If (2x+3)/((x+1)(x-3))=a/(x+1)+b/(x-3), then a + b =

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  11. If 1/((1-2x)(1+3x))=A/(1-2x)+B/(1+3x), then 2B =

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  12. ((x+1))/((2x-1)(3x+1))=A/((2x-1))+B/((3x+1)) rArr 16A+9B=

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  13. If (x^(2)-10x+13)/((x-1)(x^(2)-5x+6))=A/(x-1)+B/(x-2)+C/(x-3), then C ...

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  14. If (x^(2)+x+1)/(x^(2)+2x+1)=A+B/(x+1)+C/(X+1)^(2), then A+B+C=

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  15. If x^(4)/((x-1)(x+2))=1/(3(x-1))-16/(3(x+2))+x^(2)-x+k, then k =

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  16. If (x^(2)+2)/((x^(2)+1)(x^(2)+3))=(Ax+B)/(x^(2)+1)+(Cx+D)/(x^(2)+3) th...

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  17. If (3x+2)/((x+1)(2x^(2)+3))=A/(x+1)+(Bx+C)/(2x^(2)+3), " then "A+C-B=

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  18. If 1/(x^(2)-1)=1/k[1/(x-1)-1/(x+1)] " then "k=

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  19. If 1/(9-x^(2))=1/k[1/(3-x)+1/(3+x)] " then "k=

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  20. If (3x)/((x-6)(x+a))=2/(x-6)+1/(x+a) " then "a=

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