Home
Class 12
MATHS
Find the value of a for which function f...

Find the value of a for which function `f(x) = (ax^(2) + 3x - 4)/(3x - x^(2) +a)` has range off real numbers.

A

`a in (-(9)/(16),7)`

B

`a in (-(9)/(16),1)`

C

`a in [1,7]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise Numerical value type of JEE Main|15 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main ( Archive )|20 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

  • QUIZ

    VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x are equal

Find the range of the following functions. f(x)=sqrt(3x^(2)-4x+5)

Find the range of the function f(x)=x^2-2x-4.

Find the range of the following functions. f(x)=(5)/(3-x^(2))

Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreasing for all real values of xdot

Find the range of the following functions. f(x)=log_(e)(3x^(2)-4x+5)

Find the range of the functions: f(x)=2-3x-5x^(2)

Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) assumes all real values for all real values of x

VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -LEVEL -2
  1. If the quadratic equation 3x^(2) + ax+1=0 and 2x^(2) + bx+1=0 have a ...

    Text Solution

    |

  2. If a ,b ,p ,q are non zero real numbers, then how many comman roots wo...

    Text Solution

    |

  3. Find the value of a for which function f(x) = (ax^(2) + 3x - 4)/(3x - ...

    Text Solution

    |

  4. If for all real x (x+a)/(x^2+b x+c^2) cannot lie between two limits, ...

    Text Solution

    |

  5. If f(x)=(ax^2+x-2)/(a+x-2x^2) has the range R when x in R then

    Text Solution

    |

  6. Let f(x)=(mx^2+3x+4)/(x^(2)+3x+4) , m in R . If f(x) lt 5 for all x i...

    Text Solution

    |

  7. Which of the following function x has range R :

    Text Solution

    |

  8. If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the leas...

    Text Solution

    |

  9. The number of roots of the equation 2^(x)+2^(x-1)+2^(x-2)=7^(x)+7^(...

    Text Solution

    |

  10. The solution set of the equation "log"(x)2 xx "log"(2x)2 = "log"(4x...

    Text Solution

    |

  11. Solve : |(x^(2)-5x+4)/(x^(2) - 4)| le 1

    Text Solution

    |

  12. If x in R , the least value of the expression (x^(2)-6x+5)/(x^(2)+2...

    Text Solution

    |

  13. Find the range of f(x)=(x^(2)+x+1)/(x^(2)+x-1)

    Text Solution

    |

  14. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

    Text Solution

    |

  15. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

    Text Solution

    |

  16. For (|x-1|)/(x+2) lt 1 , solution set of x is given by :

    Text Solution

    |

  17. The number of pairs (a,b) for which a(x+1)^2+b(x^(2)-3x-2)+x+1=0 AA x ...

    Text Solution

    |

  18. The quadratic equation ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(...

    Text Solution

    |

  19. If both roots of the equation x^2+x+a=0 exceeds 'a' then

    Text Solution

    |

  20. Find the values of p for which both the roots of the equation 4x^2 - 2...

    Text Solution

    |