Home
Class 12
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

A

41

B

1

C

17/7

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|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

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

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 ?

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Main (Archive)
  1. The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...

    Text Solution

    |

  2. A value of C for which the coclusion of mean value theorem holds for t...

    Text Solution

    |

  3. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

    Text Solution

    |

  4. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

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

    Text Solution

    |

  6. A function is matched below against an interval where it is supposed t...

    Text Solution

    |

  7. Find the euation of normal to the curve x=a( cos theta + theta sin th...

    Text Solution

    |

  8. A spherical iron ball 10cm in radius is coated with a layer of ice of ...

    Text Solution

    |

  9. A lizard, at an initial distance of 21 cm behind an insect, moves fro...

    Text Solution

    |

  10. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  11. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  12. A function y =f (x) has a second order derivative f'(x) =6 (x-1) If it...

    Text Solution

    |

  13. Find the normal to the curve x=a(1+cos theta),y=a sinthetaat theta. P...

    Text Solution

    |

  14. The real number x when added to its inverse given the minimum value of...

    Text Solution

    |

  15. If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its m...

    Text Solution

    |

  16. What is the angle between these two curves x^3-3xy^2+2=0 and 3x^2y-y^3...

    Text Solution

    |

  17. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  18. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  19. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  20. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

    Text Solution

    |