Home
Class 11
MATHS
If xy(x-y)=2a^3(agt0) then y has minimum...

If `xy(x-y)=2a^3(agt0)` then y has minimum when x =

A

`1//a`

B

`-a`

C

`a//2`

D

a

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-I|31 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

If xy(y-x)=16 then y has a minimum value when x=

If xy(y-x) = 2a^(3) , show that y has a minimum value when x = a.

If x, y are positive real numbers such that xy = 1 then show that the minimum value of x + y is 2.

If the area bounded by the curves y=ax^(2)andx=ay^(2),(agt0) is 3 sq. units, then the value of a is

AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
  1. At x=1 the function y=x^4+3x^3-2x^2-9x+6 has

    Text Solution

    |

  2. The function f(x)=3-2(x+1)^(1//3) has a

    Text Solution

    |

  3. If xy(x-y)=2a^3(agt0) then y has minimum when x =

    Text Solution

    |

  4. If f(x)=sqrtx,g(x)=x^2+1 then the point at which (fog)(x) has relative...

    Text Solution

    |

  5. A particle is moving in a straight line such that its distance at any ...

    Text Solution

    |

  6. The minimum value of the function f(x)=2^(x^2+8x+6) is obtained at x =

    Text Solution

    |

  7. The minimum value of 2^((x^2-3)^3+27) is

    Text Solution

    |

  8. If xgt0,ygt0,x+y=32 and x^6+y^6 is minimum then the numbers are

    Text Solution

    |

  9. f(x) = sin x(1+ cos x) has maximum value at x=

    Text Solution

    |

  10. The curve y=xe^x has

    Text Solution

    |

  11. If (l,m,n) are the direction cosines of a line, find the maximum value...

    Text Solution

    |

  12. If a^2x^4+b^2y^4=c^6 then the maximum value of xy is

    Text Solution

    |

  13. Maximum value of x/((x+a)(x+b)) occurs when x=

    Text Solution

    |

  14. The maximum value of 4sin^2x+3cos^2x+sinx/2+cosx/2 is

    Text Solution

    |

  15. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

    Text Solution

    |

  16. The least value of (sin^(-1)x)^3+(cos^(-1)x)^3 is

    Text Solution

    |

  17. If A gt 0, b gt 0 and A+B =pi//3, then the maximum value of tan A tan ...

    Text Solution

    |

  18. Let f(x) = (1+b^(2))x^(2) + 2bx + 1 and let m (b) be the minimum value...

    Text Solution

    |

  19. If f(x) = a log |x| + bx^(2) + x has extreme values at x = -1 and x = ...

    Text Solution

    |

  20. The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

    Text Solution

    |