Home
Class 12
MATHS
For all real values of x, the minimum va...

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

A

0

B

1

C

3

D

`1/3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

Find the minimum value of f(x) = x - x^2

The minimum value of 4^(x)+4^(2-x),x in R is

If x is real, the maximum value of x^2 -8x + 17 is

Find the maximum value of f (X) = 2x^2 - x +1

What is the minimum value of x^x , x > 0 ?

Find the minimum value of f(x)=|x+2|+|x-2|+|x|.

Let y=sin^(2)x+cos^(4)x . Then, for all real x (a) the maximum value of y is 2 (b) the minimum value of y is 3/4

For x > 1 , the minimum value of 2 log_10(x)-log_x(0.01) is

The number of integral values of K' the inequality |(x^2+kx+1)/(x^2+x+1)|<3 is satisfied for all real values of x is....

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The approximate change in the volume of a cube of side x metres caused...

    Text Solution

    |

  2. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

    Text Solution

    |

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

    Text Solution

    |

  4. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

    Text Solution

    |

  5. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  6. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  7. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

    Text Solution

    |

  8. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

    Text Solution

    |

  9. The normal to the curve x^2 = 4y passing (1,2) is:

    Text Solution

    |

  10. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

    Text Solution

    |

  11. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

    Text Solution

    |

  12. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

    Text Solution

    |

  13. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

    Text Solution

    |

  14. The equation of the normal to the curve y = sin x at (0,0) is

    Text Solution

    |

  15. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

    Text Solution

    |

  16. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

    Text Solution

    |

  17. The length 'x' of a rectnagle is decreasing at the rate of 3cm/m and t...

    Text Solution

    |

  18. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  19. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  20. Find the slope of tangent to the curve y=2x^2-3 at x=1/4

    Text Solution

    |