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If (1)/((ax+b)(cx+d))=(A)/(ax+b)+(B)/(cx...

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

A

`A/(ax-b)^(2)+(AB)/(ax-b)+B^(2)/(cx+d)`

B

`A/(ax+b)^(2)+(AB)/(ax-b)+B^(2)/(cx+d)`

C

`A/(ax+b)^(2)+(AB)/(ax+b)+B^(2)/(cx+d)`

D

`A/(ax-b)^(2)+(AB)/(ax+b)+B^(2)/(cx-d)`

Text Solution

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

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

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

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

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

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

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

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

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

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  10. If (x-4)/(x^(2)-5x+6) can be expanded in the ascending powers of x, th...

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  11. The coefficient of x^(n) " in " x/((x-a)(x-b)) is

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  12. The coefficient of x^(n) in (1)/((1-2x)(1-3x)) is

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

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

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  15. The coefficient of x^(n) " in " 1/((1-x)(1-2x)(1-3x)) is

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  16. The coefficient of x^(n) " in " ((1+x)(1-2x)(1-3x))/((1-x)(1-2x)(1-3x)...

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

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

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  19. For |x| lt 1, the constant term in the expansion of (1)/((x-1)^(2)(x-2...

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  20. The coefficient of x^(5) " in " (x^(2)+1)/((x^(2)+4)(x-2)) is

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