Home
Class 12
MATHS
If m is the minimum value of f(x , y)=x^...

If `m` is the minimum value of `f(x , y)=x^2-4x+y^2+6y` when `x and y` are subjected to the restrictions `0lt=xlt=1 and 0lt=ylt=1,` then the value of `|m|` is________

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

If the area of the region {(x , y):0lt=ylt=x^2+1,0lt=ylt=x+1,0lt=xlt=2} is A , then the value of 3A-17 is____

Let x and y be two real variable such that x >0 and x y=1 . Find the minimum value of x+y .

If f(x + y) = f(x) +f(y), then the value of f(0)

Let x and y be two variables and x gt 0, xy=1, then the minimum value of (x+y) is-

Let x and y be two variables and x gt 0 , xy=1 , then the minimum value of x+y is-

If xgt0,ygt0 and x+y=1, then find the minimum value of x log x + y log y.

If y=f(x)=(3x-5)/(2x-m)and f(y)=x, find the value of m.

Minimize Z=(3x+y) Subject ot the constraints : 2x+3y lt6 x+ygt1, and x gt 0, y gt 0

If x^(2)+y^(2)=1 , the minimum and maximum values of x+y are

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The number of values of x where the function f(x)=cosx+cos(sqrt2x) att...

    Text Solution

    |

  2. For a cubic function y=f(x),f''(x)=4x at each point (x , y) on it and ...

    Text Solution

    |

  3. If m is the minimum value of f(x , y)=x^2-4x+y^2+6y when x and y are s...

    Text Solution

    |

  4. f(x) is polynomial function of degree 6, which satisfies ("lim")(xvec...

    Text Solution

    |

  5. In which of the following graphs is x=c the point of inflection? figur...

    Text Solution

    |

  6. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  7. Find the local maxima and local minima for the given function and also...

    Text Solution

    |

  8. Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1...

    Text Solution

    |

  9. Let f(x) be a cubic polynomial which has local maximum at x=-1 \ and \...

    Text Solution

    |

  10. Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):} then number o...

    Text Solution

    |

  11. If alpha is an integer satisfying |alpha|lt=4-|[x]|, where x is a r...

    Text Solution

    |

  12. The function f(x)=sin^4x+cos^4x increasing if :

    Text Solution

    |

  13. If f(x)=x/(sinx) and g(x)=x/("tan"x), where 0ltxle1, then in this inte...

    Text Solution

    |

  14. If f(x)=x^(3/2)(3x-10),xgeq0, then f(x) is increasing in .

    Text Solution

    |

  15. For 0ltaltx , the minimum value of function loga"" x+logx a is 2.

    Text Solution

    |

  16. If x-r is a factor of the polynomial f(x)=a0x^n+a1x^(n-1)+.....+an rep...

    Text Solution

    |

  17. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...

    Text Solution

    |

  18. AB is a diameter of a circle and 'C' is any point on the circumference...

    Text Solution

    |

  19. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

    Text Solution

    |

  20. The function f(x)=(ln(pi+x))/(ln(e+x)) is

    Text Solution

    |