Home
Class 12
MATHS
If y=(a x-b)/((x-1)(x-4)) has a turning ...

If `y=(a x-b)/((x-1)(x-4))` has a turning point `P(2,-1),` find the value of `aa n db` and show that `y` is maximum at `Pdot`

Text Solution

Verified by Experts

The correct Answer is:
`a=1, b=0`.
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (I))|24 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (II))|33 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (e) (Short Answer Type Questions)|16 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

If y=(ax-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value of a and b and show that y is maximum at P.

If y=(ax-b)/((x-1)(x-4)) has a turning point P(2,-1), find the values of a and b and show that y is maximum at P.

The function y=(ax+b)/((x-1)(x-4)) has turning point at P(2,1). Then find the value of a and b

The function y= (ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then find the values of a and b.

The curve y=ax^(2)+bx has a turning point at (1, -2). Find the values of 'a and 'b' and also show that y is minimum at this point .

If y=(ax+b)/((x-1)(x-4)) has a turning value at (2,-1) find a&b and show that the turning value is maximum.

The curve f(x)=(x^(2)+ax+6)/(x-10) has a stationary point at (4,1). Find the values of a and b Also,show that f(x) has point of maxima at this point.

If X_(x=1)Y_(y=2)Z_(z=2). for three matrices X,Y and Z, find the values of m,p and b .

If (x+f(y))=f(x)+y AA x,y in R and f(0)=1 then find the value of f(7).

If (x^(p)+y^(p))/(x^(p-1)+y^(p-1)) be the A.M.between x and y then find the value of p.

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 1 (e) (Long Answer Type Questions (I))
  1. Find the maximum value and the minimum value and the minimum value of ...

    Text Solution

    |

  2. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  3. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  4. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  5. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  6. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  7. Find the local maxima and local minima, if any, of the followig functi...

    Text Solution

    |

  8. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  9. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  10. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  11. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  12. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  13. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  14. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  15. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  16. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  17. Find the points of local maxima and local minima, if any, of the follo...

    Text Solution

    |

  18. Prove that (1/x)^(x) has maximum value is(e)^(1/e).

    Text Solution

    |

  19. The curve y=ax^(2)+bx has a turning point at (1, -2). Find the values ...

    Text Solution

    |

  20. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value ...

    Text Solution

    |