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

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise EXERCISE - I|5 Videos
  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.2 III.|5 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 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=

If (x^(4))/((x-1)(x-2))=x^(2)+3x+7+(A)/(x-2)+(B)/(x-1) then A=

AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
  1. The partial fractions of (x^(3)-5)/(x^(2)-3x+2) are

    Text Solution

    |

  2. The partial fractions of (6x^(4)+5x^(3)+x^(2)+5x+2)/(1+5x+6x^(2)) are

    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. The partial fractions of (x^(2))/((x^(2)+a^(2))(x^(2)+b^(2))) are

    Text Solution

    |

  5. The partial fractions of (1)/((x^(2)+9)(x^(2)+16)) are

    Text Solution

    |

  6. (3x^(2)+x+1)/((x-1)^(4))=(A)/(x-1)+(B)/((x-1)^(2))+(C)/((x-1)^(3))+(D)...

    Text Solution

    |

  7. If (x^(4)+24x^(2)+28)/((x^(2)+1)^(3))=A/((x^(2)+1))+B/((x^(2)+1)^(2))+...

    Text Solution

    |

  8. Resolve into Partial Fractions (vi) (x^(2)+13x+15)/((2x+3)(x+3)^(2)...

    Text Solution

    |

  9. The partial fractions of 1/(x^(3)(x+2)) =

    Text Solution

    |

  10. If f(x) is a function of x such that (1)/((1+x)(1+x^(2)))=(A)/(1+x)+(f...

    Text Solution

    |

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

    Text Solution

    |

  12. If (1)/(x(x^(2)+a^(2)))=(A)/(x)+(Bx+C)/(x^(2)+a^(2)) then tan^(-1)(A/B...

    Text Solution

    |

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

    Text Solution

    |

  14. The partial fractions of ((x+1)^(2))/(x(x^(2)+1)) are

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |