Home
Class 12
MATHS
If (ax-1)/((1-x+x^(2))(2+x))=x/(1-x+x^(2...

If `(ax-1)/((1-x+x^(2))(2+x))=x/(1-x+x^(2))-1/(2+x) " then " a=`

A

2

B

3

C

-3

D

-2

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

x/((x-1)(x^(2)+1)^(2))=

(x+1)/((x-1)^(2)(x-2))=

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

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

If (1)/((1+2x)(1-x^(2)))=(A)/(1+2x)+(B)/(1+x)+(C)/(1-x) then assending order of A, B, C.

a : If 1/((x-2)(x^(2)+1))=A/(x-2)+(Bx+C)/(x^(2)+1) " then "A=1/5, B=-1/5, C=-2/5 . R : 1/((x-a)(x^(2)+b))=1/(a^(2)+b)[1/(x-a)-(x+a)/(x^(2)+b)]

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

Statement I : (2x-1)/((x+1)(x^(2)+2))=(A)/(x+1)+(3x+c)/(x^(2)+2) then A= -1 Statement II : (Ax)/((x+2)(2x-3))=(2)/(x+2)+(3)/(2x-3) then A= 7 Statement III : The number of partial fractions of (x^(2)+1)/((x-1)^(4)) is 3. Which of the above statements are true.

DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
  1. If (x+1)^(2)/(x^(3)+x)=A/x+(Bx+C)/(x^(2)+1) " then "Sin^(-1)(A/C)=

    Text Solution

    |

  2. (2x^(3)+x^(2)-5)/(x^(4)-25)=(Ax+B)/(x^(2)-5)+(Cx+1)/(x^(2)+5) rArr (A,...

    Text Solution

    |

  3. If (ax-1)/((1-x+x^(2))(2+x))=x/(1-x+x^(2))-1/(2+x) " then " a=

    Text Solution

    |

  4. If (3x^(3)-2x^(2)-1)/(x^(4)+x^(2)+1)=(Ax+B)/(x^(2)+x+1)+(Cx+D)/(x^(2)+...

    Text Solution

    |

  5. x/((x-1)(x^(2)+1)^(2))=

    Text Solution

    |

  6. 1/((x-3)(x^(2)+1)^(2))=

    Text Solution

    |

  7. (2x-3)/((x-1)(x^(2)+1)^(2))=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. To find the coefficient of x^(4) in the expansion of (3x)/((x-2)(x-1))...

    Text Solution

    |

  11. The coefficient of x^(3) " in " (5x+6)/((2+x)(1-x)) is

    Text Solution

    |

  12. If abs(x) lt 1 then the coefficient of x^(2) in the expansion of (3x)/...

    Text Solution

    |

  13. The coefficient of x^(n) in the expansion of (1)/(x^(2)-5x+6)"for"|x|l...

    Text Solution

    |

  14. The coefficient of x^(n) in (x-4)/(x^(2)-5x+6) is

    Text Solution

    |

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

    Text Solution

    |

  16. The coefficient of x^(n) " in " x/((x-a)(x-b)) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If the expansion in powers of x of the function (1)/((1-ax)(1-bx)) is ...

    Text Solution

    |

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

    Text Solution

    |