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If (x^(2)-10x+13)/((x-1)(x^(2)-5x+6))=A/...

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

A

-3

B

2

C

-4

D

5

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
  1. If 1/((1-2x)(1+3x))=A/(1-2x)+B/(1+3x), then 2B =

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

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  3. 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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  4. 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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  5. 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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  6. 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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  7. If (3x+2)/((x+1)(2x^(2)+3))=A/(x+1)+(Bx+C)/(2x^(2)+3), " then "A+C-B=

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

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

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

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  11. If (3x)/((x-k)(x+1))=2/(x-k)+1/(x+1), " then "k=

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  12. If (5x)/((x-2)(x+k))=2/(x-2)+3/(x+k) " then "k=

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  13. If (2x+3)/((x-3)(x+k))=9/(4(x-3))-1/(4(x+k)) " then "k=

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  14. If (3x-6)/((x-6)(x+k))=2/(x-6)+1/(x+k) " then " k=

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  15. If (x-4)/(x^(2)-5x-2k)=2/(x-2)-1/(x+k), " then "k=

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

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  17. If (3x)/((x-a)(x-b))=2/(x-a)+1/(x-b) " then "a:b=

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  18. (x^(2)+5x+7)/(x+1)^(3)=

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  19. Resolve (x^(4)+24x^(2)+28)/((x^(2)+1)^(3)) into partial fractions.

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  20. The partial fractions of (x^(4)+18x^(2)+22)/(x^(2)+2)^(3) are

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