Home
Class 12
MATHS
If x, y, k, m, n are positive and x + y ...

If x, y, k, m, n are positive and x + y = k, then find the maximum value of `x^(m)y^(n)`.

A

`(k^(m+n)m^m n^n)/((m+n)^(m+n))`

B

`(m+n)^n`

C

`k^(m+n ""n)n^m`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

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

Find the derivative of y=sin^(m)x.cos^(n)x.

If x = 3, y = 2 is a solution of the equation 5x - 7y = k, find the value of k and write the resultant equation.

Prove that : Suppose that x and y are positive and x is very small when compared to y. Then find an approximate value of ((y)/(y+x))^(3//4)-((y)/(y+x))^(4//5)

If 3x - 4y + k = 0 is a tangent to x^(2) - 4y^(2) = 5 find the value of k.

If the line x + y = k is a normal to the curve y2 = 12x, find the value of k.

If x= 5, y = -3, then value of k in the equation 5x - 3y = k is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The sum of two numbers is 20 . If the product of the square of one num...

    Text Solution

    |

  2. The ratio of the two parts of a number 'a' such that the product of th...

    Text Solution

    |

  3. If x, y, k, m, n are positive and x + y = k, then find the maximum val...

    Text Solution

    |

  4. The difference of a number and its square is maximum, then the number ...

    Text Solution

    |

  5. If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)...

    Text Solution

    |

  6. The value of a so that the sum of the squares of roots of the equation...

    Text Solution

    |

  7. The function f(x) = a sin x +1/3 sin 3x has maximum value at x=pi/3. T...

    Text Solution

    |

  8. The focal distance of the point (4,2) on the parabola x^(2)=8y is

    Text Solution

    |

  9. The equation of the normal to the curve x^2=4y at (2,1) is

    Text Solution

    |

  10. The point on the curve y=x^2 which is nearest to (3,0) is

    Text Solution

    |

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

    Text Solution

    |

  12. The minimum distance from the origin to a point on the curve x^(2//3) ...

    Text Solution

    |

  13. The shortest distance from (-6,0) to x^2-y^2+16=0 is

    Text Solution

    |

  14. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

    Text Solution

    |

  15. The point on the curve y=x^2+4x+3 which is closest to the line y=3x+2 ...

    Text Solution

    |

  16. The shortest distance between the line y-x =1 and the curve x=y^2 is

    Text Solution

    |

  17. The longest distance of the point (a,0) from the curve 2x^2+y^2=2x is

    Text Solution

    |

  18. Point P is (-2,-3) and point Q is (3,7) . The point A on the axis for ...

    Text Solution

    |

  19. A line is drawn through the point (1,2) to meet the coordinate axes at...

    Text Solution

    |

  20. If the perimeter of a maximum rectangle is constant , then that rectan...

    Text Solution

    |