Home
Class 12
MATHS
If f(x) = a/x +bx has minimum at (2,1) t...

If f(x) = a/x +bx has minimum at (2,1) then (a,b) =

A

`(1,1//4)`

B

`(1//4,1)`

C

`(1,4)`

D

`(2,1)`

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

The curve y=ax^2+bx has minimum at (2,-12) on it. Then (a,b) =

x^2 -2x +10 has minimum at x=

The condition f(x) =x/(log x) has minimum value at x=

If the function f(x) =x^2+alpha//x has a local minimum at x=2 , then the value of alpha is

Let f : R to R be defined, by {{:(k-2x,"if"" "x le -1),(2x+3,"if" " "xgt -1):} If f has a local minimum at x=-1 , then a possible value of k is

Show that f(x) = ax^(2) + bx + c (a ne0) is maximum at x = -(b)/(2a) when a lt 0 and minimum at x = -(b)/(2a) when a gt 0 . Also find the maximum and minimum values of f(x).

If f (x) = ax ^(2) + bx + c then find Lt _(x to 5) (f (x) - f (5))/(x-5)

Let f(x) be a cubic polynomial which has local maximum at x=-1 and f(x) has a local minimum at x=1 , If f(-1) =10 and f(3) =-22, then one fourth of the distance between its two horizontal tangents is

f(x)=(x-1)(x-2)(x-3) is minimum at x=

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

    Text Solution

    |

  2. The curve y=ax^2+bx has minimum at (2,-12) on it. Then (a,b) =

    Text Solution

    |

  3. If f(x) = a/x +bx has minimum at (2,1) then (a,b) =

    Text Solution

    |

  4. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

    Text Solution

    |

  5. If a quadratic function in x has the value 9 when x=1 and has maximum ...

    Text Solution

    |

  6. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

    Text Solution

    |

  7. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  8. If the product of two positive numbers is 400 then the minimum value o...

    Text Solution

    |

  9. The sum of two positive numbers is 12. The numbers so that the sum of ...

    Text Solution

    |

  10. The difference of two positive numbers is 10 . If the square of the gr...

    Text Solution

    |

  11. The sum of three numbers is 30 . The first plus three times the second...

    Text Solution

    |

  12. Divide 64 into two parts such that the sum of the cubes of two parts i...

    Text Solution

    |

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

    Text Solution

    |

  14. The sum of two numbers is 20 . If the product of the square of one num...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |