Home
Class 12
MATHS
If (2x+3)/((x+1)(x-3))=a/(x+1)+b/(x-3), ...

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

A

1

B

2

C

`9//4`

D

`-1//4`

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

If (3x)/((x-a)(x-b))=2/(x-a)+1/(x-b) " then "a:b=

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

A : If (5x+1)/((x+2)(x-1))=A/(X+2)+B/(x-1) " then "A=3, B=2 . R : (px+q)/((x-a)(x-b))=(pa+q)/((x-a)(a-b))+(pb+q)/((b-a)(x-b)) .

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

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

DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
  1. If (5x+6)/((2+x)(1-x))=11/(3(1-x))+y then y =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If (3x)/((x-6)(x+a))=2/(x-6)+1/(x+a) " then "a=

    Text Solution

    |

  14. If (3x)/((x-k)(x+1))=2/(x-k)+1/(x+1), " then "k=

    Text Solution

    |

  15. If (5x)/((x-2)(x+k))=2/(x-2)+3/(x+k) " then "k=

    Text Solution

    |

  16. If (2x+3)/((x-3)(x+k))=9/(4(x-3))-1/(4(x+k)) " then "k=

    Text Solution

    |

  17. If (3x-6)/((x-6)(x+k))=2/(x-6)+1/(x+k) " then " k=

    Text Solution

    |

  18. If (x-4)/(x^(2)-5x-2k)=2/(x-2)-1/(x+k), " then "k=

    Text Solution

    |

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

    Text Solution

    |

  20. If (3x)/((x-a)(x-b))=2/(x-a)+1/(x-b) " then "a:b=

    Text Solution

    |