Home
Class 12
MATHS
IF x is real , find the maximum and mini...

IF x is real , find the maximum and minimum values of `(x^2-x+1)/(x^2+x+1)` also find the corresponding values of x.

Text Solution

Verified by Experts

The correct Answer is:
Max. value =3 at x=-1 and Min.value =`1/3` at x=1
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5B(Multiple Choice type question)|5 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5B(Very short answer type question)|11 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Short answer type question)|48 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

Find maximum and minimum values of (x^2-x+1)/(x^2+x+1) using Calculus.

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.

If 2x+3y=4 , find the maximum or minimum value of xy.

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

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

If x is real number, then the minimum value of x^2+x+1 is

Find the maximum value of x^((1)/(x)) .

If x be real , find the maximum value of each of the following expressions and the corresponding values of x: 1-2x-x^2

If x be real , find the maximum value of each of the following expressions and the corresponding values of x: 3+2x-x^2

If x be real , find the maximum value of each of the following expressions and the corresponding values of x: 3-20x-25x^2

CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Long Answer type question)
  1. IF alpha is a root of the equation ax^2+bx+c=0 then show that malpha^2...

    Text Solution

    |

  2. If the quadratic equations x^2+ax+b=0 and x^2+bx+a=0(aneb) have a comm...

    Text Solution

    |

  3. If the roots of the equation x^2-px+q=0 be alpha,beta and the roots of...

    Text Solution

    |

  4. If alpha and beta be the roots of the equation 5x^2+bx+c=0 Show that 5...

    Text Solution

    |

  5. If alpha and beta be the roots of the equation 5x^2+bx+c=0 Show that 5...

    Text Solution

    |

  6. IF x is real , find the greatest and the least value of : (x^2+14x+9...

    Text Solution

    |

  7. IF x is real , find the greatest and the least value of : (x^2-2x+2)...

    Text Solution

    |

  8. Show that for all real values of x the value of (x^2-3x+4)/(x^2+3x+4) ...

    Text Solution

    |

  9. If x is real, show that the value of x/(x^2-5x+9) always lie between 1...

    Text Solution

    |

  10. If x is real show that the expressions (x^2+34x-71)/(x^2+2x-7) has no ...

    Text Solution

    |

  11. If x is real show that the expressions ((x-1)(x+3))/((x-2)(x+4)) has n...

    Text Solution

    |

  12. If x is real then the expressions (x^2+2x-11)/(x-3) assumes those valu...

    Text Solution

    |

  13. If x is real , show that the expressions (x^2-ab)/(2x-a-b) has no real...

    Text Solution

    |

  14. If x is real show that the expressions (3x-5)/(x^2-1) has no value bet...

    Text Solution

    |

  15. IF x is real , find the maximum and minimum values of (x^2-x+1)/(x^2+x...

    Text Solution

    |

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

    Text Solution

    |

  17. If x is real , show that each of the following expressions is capable ...

    Text Solution

    |

  18. If x is real , show that each of the following expressions is capable ...

    Text Solution

    |

  19. If x is real , show that each of the following expressions is capable ...

    Text Solution

    |

  20. IF 3x^2+2(p+q+r)x+pq+qr+rp be a perfect square , prove that p=q=r.

    Text Solution

    |