Home
Class 11
MATHS
If x is real, the maximum value of (3x^(...

If x is real, the maximum value of `(3x^(2)+9x+17)/(3x^(2)+9x+7)` is
(a) `(17)/(7)`
(b) `(1)/(4)`
(c) 41
(d) 1

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ICSE|Exercise EXERCISE 10 (a)|11 Videos

  • QUADRATIC EQUATIONS

    ICSE|Exercise EXERCISE 10 (b)|16 Videos

  • PROPERTIES OF TRIANGLE

    ICSE|Exercise EXERCISE 7|38 Videos

  • RELATION AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|32 Videos

Similar Questions

Explore conceptually related problems

If x is real, then minimum vlaue of (3x ^(2) + 9x +17)/(3x ^(2) +9x+7) is:

If x is real , then the maximum value of (x^(2)+14x+9)/(x^(2)+2x+3) is

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

The maximum slope of the curve y=-x^3+3x^2+9x-27 is (a) 0 (b) 12 (c) 16 (d) 32

The minimum value of |x-3|+|x-2|+|x-5| is (A) 3 (B) 7 (C) 5 (D) 9

If |3x | != 2 , what is the value of (9x^2 - 4)/(3x + 2) - (9x^2 - 4)/(3x - 2) ?

For all real value of x , the maximum value of the expression x/(x^2-5x+9) is 1 (b) 45 (c) 90 (d) None of these

If 3x + (1)/(3x) = 3 , find : (i) 9x^(2) + (1)/(9x^2)

If 3x - (1)/(3x ) =5 , find : (i) 9x^(2) + (1)/( 9x^2)

If 3x-1=x-(7)/(9) , what is the value of 2x+1 ?

ICSE-QUADRATIC EQUATIONS-CHAPTER TEST
  1. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (...

    Text Solution

    |

  2. Solve the equation: 5^(x+1)+5^(2-x)=5^(3)+1

    Text Solution

    |

  3. Solve the equations: sqrt((x)/(1-x))+sqrt((1-x)/(x))=(13)/(6).

    Text Solution

    |

  4. Solve the equations: (x+1)(x+2)(x+3)(x+4)=120

    Text Solution

    |

  5. Prove that both the roots of the equation x^(2)-x-3=0 are irrational.

    Text Solution

    |

  6. For what values of m will the equation x^(2)-2mx+7m-12=0 have (i) equa...

    Text Solution

    |

  7. If one root of 2x^(2)-5x+k=0 be double the other, find the value of k.

    Text Solution

    |

  8. If alpha,beta be the roots of the equation x^(2)-x-1=0, determine the ...

    Text Solution

    |

  9. If the roots of the equation ax^(2)+bx+c=0 be in the ratio 3:4, show t...

    Text Solution

    |

  10. If x is real, prove that the quadratic expression (i) (x-2)(x+3)+7 is ...

    Text Solution

    |

  11. Draw the graph of the quadratic function x^(2)-4x+3 and hence find the...

    Text Solution

    |

  12. For what real values of a, will the expression x^(2)-ax+1-2a^(2), for ...

    Text Solution

    |

  13. If x be real, prove that the value of (2x^(2)-2x+4)/(x^(2)-4x+3) canno...

    Text Solution

    |

  14. If the roots of the equation qx^(2)+2px+2q=0 are real and unequal, pro...

    Text Solution

    |

  15. If alpha,beta be the roots of x^(2)-px+q=0, find the value of alpha^(5...

    Text Solution

    |

  16. If the difference between the roots of the equation x^(2)+ax+1=0 is le...

    Text Solution

    |

  17. Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,...

    Text Solution

    |

  18. alpha,beta are the roots of ax^(2)+2bx+c=0 and alpha+delta,beta+delta ...

    Text Solution

    |

  19. If alpha,beta are the roots of the equation x^(2)-2x-1=0, then what is...

    Text Solution

    |

  20. If the roots of the quadratic equation x^(2)+px+q=0 are tan 30^(@) and...

    Text Solution

    |

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

    Text Solution

    |