Home
Class 12
MATHS
For real x, the greatest value of (x^(2)...

For real x, the greatest value of `(x^(2)+2x+4)/(2x^(2)+4x+9)` is

A

1

B

`-1`

C

`(1)/(2)`

D

`(1)/(4)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos
  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

If x be real , find the greatest value of (x+2)/(2x^2+3x+6) .

IF x is real , find the greatest and the least value of : (x^2-2x+2)/(x^2+3x+9)

If x be real , show that the value of (2x^2-2x+4)/(x^2-4x+3) cannot lie between (-7) and 1.

if x be real, show that the value of (2x^2-2x+4)/(x^2-4x+3) cannot lie between(-7) and 1.

For all real values of x, the minimum value of (1-x+x^(2))/(1+x+x^(2)) is

IF x is real , find the greatest and the least value of : (x^2+14x+9)/(x^2+2x+3)

IF x is real, find the greatest and the least value of (6x^2-22x-21)/(5x^2-18x+17) , also find the corresponding values of x.

Show that for all real values of x the value of (x^2-3x+4)/(x^2+3x+4) always lie between 1/7 and 7.

The value of int (dx)/(9x^(2)+4) is-

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

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2017-Multiple Choice Questions
  1. Let l=int(0)^(100pi)sqrt((1-cos2x))dx, then

    Text Solution

    |

  2. The area of the figure bounded by the parabolas x=-2y^(2) and x=1-3y^(...

    Text Solution

    |

  3. Tangents are drawn to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 at the end...

    Text Solution

    |

  4. The value of K in order that f(x)=sinx-cosx-Kx+5 decreases for all pos...

    Text Solution

    |

  5. For any vector vecx. Then value of (vecx xx hati)^(2)+(vecx xx hatj)^(...

    Text Solution

    |

  6. If the sum of two unit vectors is a unit vector. Then the magnitude of...

    Text Solution

    |

  7. Let alpha and beta be the roots of x^(2)+x+1=0. If n be positive integ...

    Text Solution

    |

  8. For real x, the greatest value of (x^(2)+2x+4)/(2x^(2)+4x+9) is

    Text Solution

    |

  9. Let A=((1,1,1),(0,1,1),(0,0,1)). Then for positive integer n. A^(n) is

    Text Solution

    |

  10. Let a, b, c be such that b(a+c)ne0. If |(a,a+1,a-1),(-b,b+1,b-1),(c,...

    Text Solution

    |

  11. Let f: R rarr R be twice continuously differentiable. Let f(0)=f(1)=f'...

    Text Solution

    |

  12. If f(x)=x^(n), n being a non-negative integer, then the values of n fo...

    Text Solution

    |

  13. Let f be a non-constant continuous function for all xge0. Let f satisf...

    Text Solution

    |

  14. If the line ax+by+c=0,abne0, is a tangent to the curve xy=1-2x. Then

    Text Solution

    |

  15. Two particles move in the same straight line starting at the same mome...

    Text Solution

    |

  16. The complex number z satisfying the equation |z-i|=|z+1|=1 is

    Text Solution

    |

  17. On R, the set of real numbers, a relation rho is defined as 'a rhob if...

    Text Solution

    |

  18. If a,b in {1,2,3} and the equation ax^(2)+bx+1=0 has real roots, then

    Text Solution

    |

  19. If the tangent to y^(2)=4ax at the point (at^(2),2at) where |t|gt1 is ...

    Text Solution

    |

  20. The focus of the conic x^(2)-6x+4y+1=0 is

    Text Solution

    |