Home
Class 12
MATHS
Determine A and B so that y = = A/x+ Bx ...

Determine `A` and `B` so that` y = = A/x+ Bx` has a minimum at the point `(1,6).`

Text Solution

Verified by Experts

The correct Answer is:
a = b = 3
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE -4 (LEVEL - I)|10 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 2 (LEVEL - II)|15 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

Similar Questions

Explore conceptually related problems

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

If f(x)=bx^(2) + ax has minimum at (2, -12) then (a , b)-=..

Determine the values of a and b so thast the points (a,b,3), (2,0,1) and (1,-1,-3) are colinear.

Determine the values of x and y so that the line joining the points A(x,3,11),B(1,1,-2) is parallel to the line joining the points C(2,5,3),D(-4,y,-6).

If y=x^(2)+ax+b has a minimum at x=3 and the minimum value is 5, then the values of a and b

Let f(x)=ax^(2)+bx+c, if a>0 then f(x) has minimum value at x=

A curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gradient at the point (0,1) and also touches the x- axis at the point (-1,0) then the value of x for which the curve has a negative gradient are: a.x>=-1 b.x<1 c.x<-1 d.-1<=x<=1

MOTION-MAXIMA AND MINIMA -EXERCISE - 3
  1. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  2. The given quantity of metal is to be cost into a half cylinder with a ...

    Text Solution

    |

  3. Determine A and B so that y = = A/x+ Bx has a minimum at the point (1,...

    Text Solution

    |

  4. Find the points of local maxima/minima of function f (x) = 2x^(3) -...

    Text Solution

    |

  5. Find the points of local maxima/minima of function f(x) = - (x - 1)^...

    Text Solution

    |

  6. Find the points of local maxima/minima of function f(x) = x ln x

    Text Solution

    |

  7. Let f(x) = {{:( 2 sin x ,, x gt 0) , ( x^(2) ,, x le 0):} . Investigat...

    Text Solution

    |

  8. Find the number of critical points of the function f (x) = - (3)/(4...

    Text Solution

    |

  9. Find the number of critical points of the function f(x) = |x - 2| +...

    Text Solution

    |

  10. Find the number of critical points of the function f (x) = min (tan...

    Text Solution

    |

  11. Let f (x) = x^(2) , x in [-1 , 2) Then show that f(x) has exactly one ...

    Text Solution

    |

  12. Let f (x) = x + sqrtx . Find the greatest and least value of f(x) for ...

    Text Solution

    |

  13. Let f(x) ={underset(x^(2) +nb " " x ge1)(3-x " "0le x lt1). Find ...

    Text Solution

    |

  14. Find the points of local maxima/minima of following functions (i) f ...

    Text Solution

    |

  15. Show that sin^(p) theta cos^(q) theta , p , q in N attains maximum val...

    Text Solution

    |

  16. A telephone company in a town has 500 subscribers on its list and c...

    Text Solution

    |

  17. A factory D is to be connected by a road with a straight railway line ...

    Text Solution

    |

  18. If y=(a x+b)/((x-1)(x-4)) has a turning value at (2,\ -1) find a\ &...

    Text Solution

    |

  19. A cubic function f(x) vanishes at x=-2 and has relative minimum/maximu...

    Text Solution

    |

  20. Draw graph of f(x) =x|x-2| and hence find points of local maxima//mini...

    Text Solution

    |