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

For all real values of x, the minimum value of `f(x)=(1-x+x^(2))/(1+x+x^(2)), AA x in R` is ……….

A

0

B

1

C

3

D

`(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise MISCELANEOUS EXERCISE - 6|27 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise EXERCISE - 6.4|23 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

The minimum value of y=5x^(2)-2x+1 is

The minimum value of y=5x^(2)-2x+1 is

The maximum value of f(x)=((1)/(x))^(x) is …………

f(x)=x log x has minimum value ………

The minimum value 4^(x) + 4^(1-x), x in R is

The local minimum value of f(x)=x^(2)+4x+5 is ………..

If x is real, the minimum value of x^(2)-8x+17 is …………. (Where x in R )

The minimum value of f(x)=3cos x + 4sin x is ………..

The complete set of values of a for which the function f(x)=tan^(-1)(x^(2)-18x +a)gt 0 AA x in R is

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -EXERCISE - 6.5
  1. What is the maximum value of the function sin x + cos x ?

    Text Solution

    |

  2. Find the maximum value of 2x^(3)-24x+107 in the interval [1, 3]. Find ...

    Text Solution

    |

  3. It is given that at x = 1, the function x^(4)-62x^(2)+ax+9 attains its...

    Text Solution

    |

  4. Find the maximum and minimum values of x+sin(2x) on [0, 2pi].

    Text Solution

    |

  5. Find two numbers whose sum is 24 and whose product is as large as poss...

    Text Solution

    |

  6. Find two positive numbers x and y such that x+y=60 and xy^(3) is maxim...

    Text Solution

    |

  7. Find two positive numbers x and y such that their sum is 35 and the pr...

    Text Solution

    |

  8. Find two positive numbers whose sum is 16 and the sum of whose cubes i...

    Text Solution

    |

  9. A square piece of tin of side 18 cm is to be made into a box without t...

    Text Solution

    |

  10. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box wit...

    Text Solution

    |

  11. Show that of all rectangles inscribed in a given fixed circle, the squ...

    Text Solution

    |

  12. Show that the right circular cylinder of given surface and maximum vol...

    Text Solution

    |

  13. Of all the closed cylindrical cans (right circular), of a given volume...

    Text Solution

    |

  14. A wire of length 28 m, is to be cut into two pieces. One of the pieces...

    Text Solution

    |

  15. Prove that the volume of the largest cone that can be inscribed in a s...

    Text Solution

    |

  16. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  17. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  18. Show that semi - vertical angle of right circular cone of given surfac...

    Text Solution

    |

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

    Text Solution

    |

  20. For all real values of x, the minimum value of f(x)=(1-x+x^(2))/(1+x+x...

    Text Solution

    |