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If (x^(2)+2)/((x^(2)+1)(x^(2)+3))=(Ax+B)...

If `(x^(2)+2)/((x^(2)+1)(x^(2)+3))=(Ax+B)/(x^(2)+1)+(Cx+D)/(x^(2)+3)` then `A+C+D=`

A

0

B

1

C

`1//2`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
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  2. 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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  3. 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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  4. If (3x+2)/((x+1)(2x^(2)+3))=A/(x+1)+(Bx+C)/(2x^(2)+3), " then "A+C-B=

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. (3x^(2)+x+1)/(x-1)^(4)=a/(x-1)+b/(x-1)^(2)+c/(x-1)^(3)+d/(x-1)^(4) rAr...

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  19. Resolve the following into partial fractions. (3x^(2)-8x^(2) + 10)/(...

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  20. The partial fractions of (2x^(3)+3x^(2)+5x+7)/(x+1)^(5) are

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