Home
Class 12
MATHS
If f(x) is a function of x such that (1)...

If `f(x)` is a function of x such that `(1)/((1+x)(1+x^(2)))=(A)/(1+x)+(f(x))/((1+x^(2))` for all `x in R` then `f(x)` is

A

`(1-x)/(2)`

B

`(1+x)/(2)`

C

`1-x`

D

`1+x`

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

The function y=f(x) such that f(x+1/x) = x^(2)+(1)/(x^(2))

If f(x)+2f(1-x)=x^(2)+2 AA x in R , then f(x) is given by

If f(x)=2x-1,g(x)=(x+1)/(2) for all x in R , find (gof)(x)

If f(x) = 2x-1, g(x) = (x+1)/(2) for all x in R , then find (gof) (x).

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x)=

If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x) and f(2)=33 then f(x)=

IF f(x)=2x-1,g(x)=(x+1)/2 for all x in R , find (fog) (x)

IF f(x)=2x-1,g(x)=(x+1)/2 for all x in R , find (gof) (x)

IF f(x)=2x-1,g(x)=(x+1)/2 for all x in R , find (gof) (x)

AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
  1. Resolve into Partial Fractions (vi) (x^(2)+13x+15)/((2x+3)(x+3)^(2)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. (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

    |

  19. Statement-I : If (x^(2)+3x+1)/(x^(2)+2x+1)=A+(B)/(x+1)+(C)/((x+1)^(2...

    Text Solution

    |

  20. Statement-I : If (3x+4)/((x+1)^(2)(x-1))=(A)/(x-1)+(B)/(x+1)+(C)/((x...

    Text Solution

    |