Home
Class 12
MATHS
If x is real, the maximum value of (3 x^...

If x is real, the maximum value of `(3 x^(2)+9 x+17)/(3 x^(2)+9 x+7)` is

A

1)`(1)/(4)`

B

2)41

C

3)1

D

4)`(17)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If x is real, the minimum value of x^(2)-8x+17 is :

If x is real, the maximum value of ((4x^(2)+7x+10)/(4x^(2)+7x+4)) is

If x is real, the minimum value of ((2x^(2)+4x+5)/(2x^(2)+4x+7)) is

If x is real , then the expression (x^(2) + 34x - 71)/(x^(2) + 2x - 7 ) can have no value between :

If minimum value of f(x)=x^(2)+2bx+2c^(2) is greater than maximum value of g(x)= -x^(2)-2cx +b^(2) , then for x is real :

If x is real, the maximum and minimum values of expression (x^(2)+14x+9)/(x^(2)+2x+3) will be

If x is real, then the minimum value of the expression x^2-8x+17 is

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. The value of a for which the sum of the squares of the roots of the eq...

    Text Solution

    |

  2. If both the roots of the quadratic equation x^(2)-2 k x+(k^(2)+k-5)=0 ...

    Text Solution

    |

  3. If x is real, the maximum value of (3 x^(2)+9 x+17)/(3 x^(2)+9 x+7) is

    Text Solution

    |

  4. All the values of m for which both roots of the equation x^(2)-2 m x+(...

    Text Solution

    |

  5. If the roots of the quadratic equation x^(2)+p x+q=0 are tan 30^(circ)...

    Text Solution

    |

  6. If the difference between the roots of the equation x^(2)+a x+1=0 is l...

    Text Solution

    |

  7. The quadratic equations : x^(2) - 6x + a = 0 and x^(2) - cx + 6 = ...

    Text Solution

    |

  8. If the roots of the equation bx^(2)+cx+a=0 be imaginary then fro all r...

    Text Solution

    |

  9. If alpha , beta are the roots of the equation : x^(2) + x sqrt(alp...

    Text Solution

    |

  10. The number of solutions of the equation : sin (e^(x)) = 5^(x) + 5^(...

    Text Solution

    |

  11. If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to th...

    Text Solution

    |

  12. Given that a x^(2)+b x+c has no real roots and a+b+c lt 0 then,

    Text Solution

    |

  13. The roots of the equation |x^(2)-x-6|=x+2 are

    Text Solution

    |

  14. If a, b, c are positive real numbers, then the number of real roots of...

    Text Solution

    |

  15. The value of 'a' for which the equation x^(3) + ax + 1 = 0 and x^(4) +...

    Text Solution

    |

  16. If alpha and beta are the roots of x^(2) + qx + 1 = 0 and gamma, delt...

    Text Solution

    |

  17. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  18. Let x(1), x(2) be the roots of the equation x^(2)-3 x+p=0 and let x(3)...

    Text Solution

    |

  19. Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) +...

    Text Solution

    |

  20. If x^(2)+x+1 is a factor of a x^(3)+b x^(2)+c x+d, then the real root ...

    Text Solution

    |