Home
Class 12
MATHS
x^(3)/((2x-1)(x+2)(x-3))=A+B/(2x-1)+C/(x...

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

A

`1//2`

B

`-1//50`

C

`-8//25`

D

`27//25`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|3 Videos
  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|3 Videos
  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos
  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-4|4 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -4|10 Videos

Similar Questions

Explore conceptually related problems

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

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

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

DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
  1. Resolve (x^(4))/((x-1)(x-2)) into partial fractions.

    Text Solution

    |

  2. Resolvex^(3)/((2x-1)(x+2)(x-3)) into Partial fractions.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. (2x-1)/((x-1)(2x+3))=1/(5(x-1))-k/(5(2x+3)), then k =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |