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(2x^(3)+x^(2)-5)/(x^(4)-25)=(Ax+B)/(x^(2...

`(2x^(3)+x^(2)-5)/(x^(4)-25)=(Ax+B)/(x^(2)-5)+(Cx+1)/(x^(2)+5) rArr (A, B, C)=`

A

(1, 1, 0)

B

(1, 0, 1)

C

(1, 2, 1)

D

(1, 1, 1)

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
  1. If A/x+(Bx)/(x^(2)+1)=(5x^(2)+2)/(x^(3)+x), " then "B=

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

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  3. (2x^(3)+x^(2)-5)/(x^(4)-25)=(Ax+B)/(x^(2)-5)+(Cx+1)/(x^(2)+5) rArr (A,...

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  4. If (ax-1)/((1-x+x^(2))(2+x))=x/(1-x+x^(2))-1/(2+x) " then " a=

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  5. If (3x^(3)-2x^(2)-1)/(x^(4)+x^(2)+1)=(Ax+B)/(x^(2)+x+1)+(Cx+D)/(x^(2)+...

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  6. x/((x-1)(x^(2)+1)^(2))=

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

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  8. (2x-3)/((x-1)(x^(2)+1)^(2))=

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  9. If (1)/((ax+b)(cx+d))=(A)/(ax+b)+(B)/(cx+d) then (1)/((ax+b)^(2)(cx+d)...

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  10. If (1)/((x-a)(x^(2)+b))=(A)/(x-a)+(Bx+C)/(x^(2)+b) then (1)/((x-a)(x^(...

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  11. To find the coefficient of x^(4) in the expansion of (3x)/((x-2)(x-1))...

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  12. The coefficient of x^(3) " in " (5x+6)/((2+x)(1-x)) is

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  13. If abs(x) lt 1 then the coefficient of x^(2) in the expansion of (3x)/...

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  14. The coefficient of x^(n) in the expansion of (1)/(x^(2)-5x+6)"for"|x|l...

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  15. The coefficient of x^(n) in (x-4)/(x^(2)-5x+6) is

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  19. For |x| lt 1/5, the coefficient of x^(3) in the expansion of (1)/((1-...

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  20. If the expansion in powers of x of the function (1)/((1-ax)(1-bx)) is ...

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