Home
Class 11
MATHS
The maximum value of xy subject to x+y =...

The maximum value of xy subject to x+y =7 is

A

12

B

10

C

`(49)/4`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-II|88 Videos
  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

Obser the following lists {:("List -I","List -II"),((A)"Maximum value of xy subject to x+y =7 is",(1)2),((B)"If"l^(2)+m^(2)=1",""then the maximum value of 1+m is",(2)1),((C)"If"x+y=12",""then the minimum Value of"x^(2)+y^(2)"is",(3)sqrt(2)),((D)"Minimum value" x^(2)-8x+17 "is",(4)49//4),(,(5)0):}

The maximum value of 7 cos x- 24 sin x is

The maximum value of y=sin ^3 x cos x "at" pi//3 is

The maximum value of y= (1)/( sin^(6) x + cos^(6) x) is __________

If tan x = n tan y, nin R ' then the maximum value of sec^(2)(x-y) is equal to

If x+y =28 then the maximum value of x^(3)y^(4) is

the maximum value of 7/5 -(x-2/3) ^2 is

AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-III
  1. The sum of two positive numbers is 48. The numbers so that the sum of ...

    Text Solution

    |

  2. The sum of two numbers is 16. If their product is maximum then the num...

    Text Solution

    |

  3. The maximum value of xy subject to x+y =7 is

    Text Solution

    |

  4. f(x)=sqrt3 sinx+cosx has a greatest value when x=

    Text Solution

    |

  5. The least value of e^x+e^(-x) is

    Text Solution

    |

  6. For a paricle moving on a straight line it is observed that the distan...

    Text Solution

    |

  7. A quadratic function in x has the value 9 when x = 1 and has a maximum...

    Text Solution

    |

  8. The absolute maximum of f(x)=x^3-3x+2 in [0,2] is

    Text Solution

    |

  9. In the interval [0,1] the function x^(25)(1-x)^(75) takes a maximum va...

    Text Solution

    |

  10. When x in [-6,8] the maximum value of (x+6)^4(8-x)^3 is

    Text Solution

    |

  11. The maximum and minimum value of f(x)=(x-8)^4(x-9)^5 occurs at x=

    Text Solution

    |

  12. If x,y are strictly positive such that x+y=1 then the minimum value of...

    Text Solution

    |

  13. If x,y = 12 then the minimum value of x^2+y^2 is

    Text Solution

    |

  14. The function f(x)=(x-1)^2+(x-2)^2+(x-3)^2+……+(x-9)^2 has minimum value...

    Text Solution

    |

  15. The maximum hight of the curve y=6cosx-8sinx above the x-axis

    Text Solution

    |

  16. f(x)=ae^x+be^(-x)(abgt0) has maximum value when

    Text Solution

    |

  17. Find the point on the curve y^2=4x which is nearst to the point (2,1)

    Text Solution

    |

  18. Observe the following statements : List-I: (A) If x+y=k then x^2+y^...

    Text Solution

    |

  19. Statement-I : The maximum value of (logx)/x" in "0ltxltoo" is "2/e S...

    Text Solution

    |

  20. Statement-I : f(x)=sqrt3sinx+cosx has a greatest value when x=pi/6 S...

    Text Solution

    |