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 `a and b`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    RD SHARMA ENGLISH|Exercise All Questions|144 Videos
  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

Similar Questions

Explore conceptually related problems

If y=(a x-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 values of a and b.

The function y=(a x+b)/((x-1)(x-4)) has turning point at P(2,1)dot Then find the value of a\ a n d\ bdot

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

If the equation of the tangent to the curve y^2=a x^3+b at point (2,3) is y=4x-5 , then find the values of a and b .

If (x+1) and (x-1) are factors of p(x)=ax^3+x^2-2x+b find the values of a & b .

If d/(dx)(tan^(-1)(2^(x+1)/(1-4^(x))))=a^(x+1)/(1+b^(x))loga , find the value of a and b.

If (d)/(dx)((1+x^2+x^4)/(1+x+x^2)) = a+bx , find the values of a and b .

If the point P(x ,\ 3) is equidistant from the points A(7,\ -1) and B(6,\ 8) , find the value of x and find the distance A P .

If abx^(2)=(a-b)^(2)(x+1) , then find the value of 1+(4)/(x)+(4)/(x^(2)) in terms of a and b.

RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. At what points, the slope of the curve y=-x^3+3x^2+9x-27 is maximum? A...

    Text Solution

    |

  2. Show that the maximum value of (1/x)^x is e^(1/e)dot

    Text Solution

    |

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

    Text Solution

    |

  4. A metal box with a square base and vertical sides is to contain 102...

    Text Solution

    |

  5. OR An open box with a square base is to be made out of a given quan...

    Text Solution

    |

  6. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

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

    Text Solution

    |

  8. The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a)1/4 (b) -1/3...

    Text Solution

    |

  9. The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...

    Text Solution

    |

  10. The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...

    Text Solution

    |

  11. The maximum value of x^(1/x),x >0 is (a)e^(1/e) (b) (1/e)^e (c)...

    Text Solution

    |

  12. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a...

    Text Solution

    |

  13. Show that of all the rectangles inscribed in a given fixed circle, ...

    Text Solution

    |

  14. AB is a diameter of a circle and C is any point on the circumference o...

    Text Solution

    |

  15. Find the points of local maxima and local minima, if any, y = 3x^3+...

    Text Solution

    |

  16. Find the local maximum and local minimum value of f(x)=secx+logcos^2x...

    Text Solution

    |

  17. Amongst all pairs of positive numbers with product 256, find those ...

    Text Solution

    |

  18. Find two positive numbers whose sum is 14 and the sum of whose squa...

    Text Solution

    |

  19. A beam is supported at the two ends and is uniformly loaded. The ben...

    Text Solution

    |

  20. Show that all the rectangles with a given perimeter, the square has...

    Text Solution

    |