Home
Class 12
MATHS
Resolve into Partial Fractions (vi) (...

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

A

`(1)/(2x+3)-(1)/(x+3)+(5)/((x+3)^(2))`

B

`(-1)/(2x+3)+(1)/(x+3)+(5)/((x+3)^(2))`

C

`(-1)/(2x+3)-(1)/(x+3)+(5)/((x+3)^(2))`

D

`(1)/(2x+3)+(1)/(x+3)+(5)/((x+3)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Resolve into Partial Fractions (vi) (5x^(2)+2)/(x^(3)+x)

Resolve into Partial Fractions (v) (2x^(3)+3)/(x^(2)-5x+6)

Resolve into Partial Fractions (i) (3x+7)/(x^(2)-3x+2)

Resolve into Partial Fractions (vii) (1)/(x^(3)(x+a))

Resolve into Partial Fractions (viii) (1)/(x^(3)(x+2))

Resolve into Partial Fractions (i) (x^(2)+1)/((x^(2)+4)(x-2))

Resolve into Partial Fractions (iv) (x^(4))/((x-1)(x-2))

Resolve into Partial Fractions (i) (x^(3))/((x^(2)+1)^(2))

Resolve into Partial Fractions (iv) (3x+2)/(2-x-x^(2))

Resolve into Partial Fractions (iv) (2x-1)/((2x+3)(x-1)

AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
  1. (3x^(2)+x+1)/((x-1)^(4))=(A)/(x-1)+(B)/((x-1)^(2))+(C)/((x-1)^(3))+(D)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. (3x^(2)+x+1)/(x-1)^(4)=a/(x-1)+b/(x-1)^(2)+c/(x-1)^(3)+d/(x-1)^(4) rAr...

    Text Solution

    |