Home
Class 12
MATHS
If x is real , then the maximum value of...

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

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -2)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (QUADRATIC EQUATIONS)|288 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

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

Find the maximum value of f(x) = x^(3)(2-x)^(4)

The maximum value of (x-1)(x-2) (x-3)is

The maximum value of f(x)=(x-2)^(2)(x-3) is

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1B (QUADRATIC EXPRESSIONS)
  1. For x in R, the least value of (x^(2)-6x+5)/(x^(2)+2x+1) is

    Text Solution

    |

  2. If x in R, then the range of (x)/(x^(2)-5x + 9) is

    Text Solution

    |

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

    Text Solution

    |

  4. the limits of ( 6x ^2 - 18 x + 21 ) /( 6x^2 - 18 x + 17 ) ar...

    Text Solution

    |

  5. If x is real, then the range of (x^(2)+2x+1)/(x^(2)+2x+7) is

    Text Solution

    |

  6. IF (x-a) /( x^2- 3x +2) takens all real values for x in R , ...

    Text Solution

    |

  7. IF x in R then ( x^2 + 2x + a) /( x^2 + 4x + 3a ) can take ...

    Text Solution

    |

  8. If Y = tan x cot 3x ,x in R , then

    Text Solution

    |

  9. IF x in R then (2a (x-1) sin ^2 alpha ) /( x^2 - sin alpha ) ...

    Text Solution

    |

  10. If a ne b then the expression x^2 - (a +b) x+ ( a^2 - ab +b^...

    Text Solution

    |

  11. If alpha , beta are the roots of x^2 -(a-2) x- (a +1) =0 where...

    Text Solution

    |

  12. IF the sum of the squares of the roots of the equation x^2 -...

    Text Solution

    |

  13. The value of a for which the sum of the squares of the roots ...

    Text Solution

    |

  14. IF the roots of the equation bx^2 + cx + a=0 be imaginary , t...

    Text Solution

    |

  15. The smallest value of of the constant m gt 0 for which f(x) = 9mx - 1 ...

    Text Solution

    |

  16. The real values of a for which y=sqrt(((x+1)(x-3))/(x-2)) tak...

    Text Solution

    |

  17. IF x gt -c then the minimum value of (( a+x) (b +x))/( c+x) ...

    Text Solution

    |

  18. IF x gt -c then the minimum value of (( a+x) (b +x))/( c+x) ...

    Text Solution

    |

  19. For real x , the function ((x-a ) (x-b))/( x-c) will assume al...

    Text Solution

    |

  20. The range of values of x which satisfy 5x + 2 lt 3x +8 and (...

    Text Solution

    |