Home
Class 12
MATHS
The minmumu value of the fucntion f(...

The minmumu value of the fucntion
`f(x)=a^2/x+b^2/(a-x),a gt 0, b gt 0` , in (0,a) is

A

a + b

B

`(1)/(a + b)`

C

`(1)/(a) (a + b)^(2)`

D

`(1)/(a^(2)) (a + b)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

The least function value of function f(x) =ax + b/x (where, a gt 0, b gt 0, x gt 0 ) is ……………………

If f(x)=a^(x), a gt 0 , then f is

The function f(x)= log_(c) x , where c gt 0, x gt 0 is

Find the minimum and maximum values of the function f(x) =a cos x+b sin x(a^(2)+b^(2) gt 0)

Consider the function f(x)=1/x^(2) for x gt 0 . To find lim_(x to 0) f(x) .

Find the value of a for which the function f(x) =x^(2)-2ax+6,x gt 0 is strictly increasing.

Find the minimum values of f(x)=x^(2)+(1)/(x^(2)), x gt 0

Consider the function f(x) = {{:(2, x le 0),(2, x gt 0):} Find lim_(x->2)

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

    Text Solution

    |

  2. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

    Text Solution

    |

  3. The minmumu value of the fucntion f(x)=a^2/x+b^2/(a-x),a gt 0, b g...

    Text Solution

    |

  4. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  5. Find the maximum and minimum values of f , if any, of the function gi...

    Text Solution

    |

  6. The function f(x) = 1 + x (sin x) [cos x], 0 lt x le (pi)/(2) (where [...

    Text Solution

    |

  7. Find two positive numbers x and y such that x+y=60\ a n d\ x^3y is max...

    Text Solution

    |

  8. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  9. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  10. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

    Text Solution

    |

  11. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

    Text Solution

    |

  12. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |

  13. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  14. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  15. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  16. A ball is dropped from a platform 19.6 m high. Its position function i...

    Text Solution

    |

  17. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  18. A stone is dropped into a quiet lake and waves move in circles at a sp...

    Text Solution

    |

  19. If a circular plate is heated uniformly, its area expands 3c times as ...

    Text Solution

    |

  20. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |