Home
Class 12
MATHS
f : R -> R, where f(x)=(x^2+ax+1)/(x^2+x...

`f : R -> R`, where `f(x)=(x^2+ax+1)/(x^2+x+1)` Complete set of values of 'a' such that `f (x)` is onto, is

A

`(-oo, oo)`

B

`(-oo, 0)`

C

`(0,oo)`

D

not possible

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL|Exercise ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT|25 Videos

  • FUNCTION

    VK JAISWAL|Exercise COMPREHENSION TYPE PROBLEMS|15 Videos

  • ELLIPSE

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

f:R rarr R, where f(x)=(x^(2)+ax+1)/(x^(2)+x+1) Complete set of values of 'a' such that f(x) is onto,is

f:R rarr R where f(x)=(x^(2)+3x+6)/(x^(2)+x+1), then f(x) is

Let f:R rarr R, where f(x)=x^(3)-ax,a in R. Then set of values of 'a'so that f(x) is increasing in its entire domain is

Let f:R rarr[0,(pi)/(2)) defined by f(x)=Tan^(-1)(x^(2)+x+a) then the set of values of a for which f is onto is

f:R rarr R defined by f(x)=(x^(2)+x-2)/(x^(2)+x+1) is

f:R rarr R defined by f(x)=(x^(2)+x-2)/(x^(2)+x+1) is:

Let f:R rarr R be given by f(x)=(x-1)^(2)+1,xge1 . Then the set of values of x for which f(x)=f^(-1)(x) is given by

Let f(x)=(ax^(2)+2x+1)/(2x^(2)-2x+1) FIdn the value of a if f:R rarr[-1,2] is onto

Let f:r rarr R, where f(x)=2^(|x|)-2^(-x) then f(x) is

VK JAISWAL-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. f : R -> R, where f(x)=(x^2+ax+1)/(x^2+x+1) Complete set of values of ...

    Text Solution

    |

  2. Let f(x) be a polynomial of degree 6 with leading coefficient 2009. Su...

    Text Solution

    |

  3. Let f (x) =x ^(3)-3x Find f (f (x))

    Text Solution

    |

  4. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R ,d e t e ...

    Text Solution

    |

  5. If the domain of f(x) = sqrt (12-3^(x)-3^(3-x))+ sin ^(-1) ((2x)/(3 ...

    Text Solution

    |

  6. The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/...

    Text Solution

    |

  7. The number of integers in the range of function f(x)= [sinx] + [cosx] ...

    Text Solution

    |

  8. If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2...

    Text Solution

    |

  9. The number of integral vlaue (s) of k for which the curve y = sqrt ( ...

    Text Solution

    |

  10. Let the solution set of the equation sqrt([x+[x/2]])+[sqrt({x})+[x/3]]...

    Text Solution

    |

  11. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

    Text Solution

    |

  12. Find the number of elements contained in the range of the function f (...

    Text Solution

    |

  13. Let f (x,y)= x^(2) - y^(2) and g (x,y) = 2xy. such that (f ( x,y))^(2)...

    Text Solution

    |

  14. Let f (x) = (x+5)/(sqrt(x^(2)) +1) AA x in R, then the smallest integr...

    Text Solution

    |

  15. The number of integral vaues of which f : R to R ,f (x) = (x ^(2))/(3)...

    Text Solution

    |

  16. The number of roots of equation ((x-1)(x-3))/((x-2)(x-4))-e^(x)) ((x+1...

    Text Solution

    |

  17. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  18. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  19. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  20. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  21. Let f x = (ax+b)/(xa+d), where a,b,c d are non zero If f (7) =7,f (11)...

    Text Solution

    |