Home
Class 12
MATHS
If (x^(4)+24x^(2)+28)/((x^(2)+1)^(3))=A/...

If `(x^(4)+24x^(2)+28)/((x^(2)+1)^(3))=A/((x^(2)+1))+B/((x^(2)+1)^(2))+C/((x^(2)+1)^(3))`, then A + C =

A

26

B

27

C

28

D

29

Text Solution

Verified by Experts

The correct Answer is:
C
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

(2x^(4)+3x^(2)+1)/((x^(2)+1)^(4))=(A)/((x^(2)+1))+(B)/((x^(2)+1^(2)))+(C)/((x^(2)+1)^(3))+(D)/((x^(2)+1)^(4)) then Match the following. {:(" List - I"," List - II"),("1) A","(a) 2"),("2) B","(b) 1"),("3) C","(c) -1"),("4) D","(d) 0"), (,"(e) 1/2"):}

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

If (x^(2)-5x+7)/(x-1)^(3)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3) " then " A+B-C=

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

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

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

AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
  1. The partial fractions of (1)/((x^(2)+9)(x^(2)+16)) are

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. The number of partial fractions of (x^(3)-3x^(2)+3x)/((x-1)^(5)) is

    Text Solution

    |

  18. The number of partial fractions of (2)/(x^(4)+x^(2)+1) is

    Text Solution

    |

  19. If a(K)=(1)/(K(K+1)) for K=1, 2, 3....n, then (sum(K=1)^(n)a(K))^(2)=

    Text Solution

    |

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

    Text Solution

    |