Home
Class 12
MATHS
A function y=(ax+b)/((x-1)(x-4)) has max...

A function `y=(ax+b)/((x-1)(x-4))` has maximum or minimum at `P(2,-1)` then find a and b. Also show that y has maximum value at P.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|83 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise MISCELANEOUS EXERCISE - 6|27 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

Prove that f(x)=sin x+3^(1/2) cos x has maximum value at x=(pi)/(6)

At what points, f(x)=1+2 sin x + 3 cos^(2)x, 0 lt x lt (2pi)/(3) has maximum or minimum ? Find the maximum and minimum value of the function.

For a certain curve y=f(x) satisfying (d^(2)y)/(dx^(2))=6x-4, f(x) has a local minimum value 5 when x=1, Find the equation of the curve and also the gobal maximum and global minimum values of f(x) given that 0lexle2.

23 - | 2x + 3| has maximum value .................

Show that the function given by f(x)=(log x)/(x) has maximum at x = e.

The corner points of the bounded feasible region are (0, 0), (2, 0), (4, 2), (2, 4) and (0, 10/3) . Then for the objective function z = -x + 2y. (i) Maximum value of z has at ………. (ii) Minimum value of z has at ………… (iii) The maximum value of z is ........... (iv) The minimum value of z is ............

The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local maximum at ……… and local minimum ………..

If P(x, y) is a point equidistant from the points A(6, -1) and B(2, 3), show that x-y = 3.

Find the maximum and minimum values, if any, of the functions given by h(x) = x + 1, x in (– 1, 1)

Find the maximum and minimum values, if any, of the functions given by f(x) = |x + 2| – 1

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -PRACTICE WORK
  1. Prove that for theta = tan^(-1)sqrt((p)/(q)), sin^(p)theta cos^(q)thet...

    Text Solution

    |

  2. For which value of x, function f(x)=(40)/(3x^(4)+8x^(3)-18x^(2)+60) ha...

    Text Solution

    |

  3. A function y=(ax+b)/((x-1)(x-4)) has maximum or minimum at P(2,-1) the...

    Text Solution

    |

  4. Critical points of y=a log x + bx^(2)+x are x=-1 and x = 2. Then find ...

    Text Solution

    |

  5. Find maximum and minimum value of the following functions in the given...

    Text Solution

    |

  6. Find maximum and minimum value of the following functions in the given...

    Text Solution

    |

  7. Find maximum and minimum value of the following functions in the given...

    Text Solution

    |

  8. A function y=f(x) is given by x = phi (t)=t^(5)-5t^(3)-20t+7 y=...

    Text Solution

    |

  9. For which value of a, A function, f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9...

    Text Solution

    |

  10. Prove that the minimum value of ((a+x)(b+x))/((c+x)), x gt - c is ...

    Text Solution

    |

  11. At what points, f(x)=1+2 sin x + 3 cos^(2)x, 0 lt x lt (2pi)/(3) has m...

    Text Solution

    |

  12. Divide 20 into two parts such that the product of one part and the cub...

    Text Solution

    |

  13. Find two positive numbers x and y, such that x+y=64 and x^(3)+y^(3) is...

    Text Solution

    |

  14. What is the maximum slope of the curve y=-x^(3)+3x^(2)+2x-27 ? Also fi...

    Text Solution

    |

  15. Find the co-ordinates of a point on the parabola y=x^(2)+7x+2 which is...

    Text Solution

    |

  16. The total area of a page is 150 square inchese. The combined width of ...

    Text Solution

    |

  17. The three sides of a trapezium are equal, each being 6 cm long. Find t...

    Text Solution

    |

  18. In a right angle triangle, the sum of hypotenuous and one side is give...

    Text Solution

    |

  19. Show that a triangle of maximum area that can be inscribed in a circle...

    Text Solution

    |

  20. The circle x^(2)+y^(2)=1 cats the X - axis at P and Q. Another circle ...

    Text Solution

    |