Home
Class 12
MATHS
The function y=(a x+b)/((x-1)(x-4)) has ...

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`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

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

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.

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 the function y = m log x + nx^(2) +x has its critcal points at x = -1 and x =2 then the values of m and n respectively are

If the points A(3,\ 5)a n d\ B(1,\ 4) lie on the graph of the line a x+b y=7, find the values of a\ a n d\ b

If f,\ g,\ h are real functions defined by f=sqrt(x+1),\ g(x)=1/x\ a n d\ h(x)=2x^2-3, then find the values of (2fg+g-h)(1)\ a n d\ (2f+g-h)(1)dot

If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a point of inflection for the same value of x then the value of b is equal to -1 (b) 1 (c) 6 (d) -6

Given X~B(n,p) if E(X) = 6, Var (X) = 4.2 , find the value of n and p.

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  2. If f(x)={x^2,xlt=0 2sinx ,x >0'in v e s t iga t et h e function at x=...

    Text Solution

    |

  3. The function y=(a x+b)/((x-1)(x-4)) has turning point at P(2,1)dot The...

    Text Solution

    |

  4. Find the points of maxima and minima of the function. f(x)=12 x^5-4...

    Text Solution

    |

  5. Discuss the extremum of f(x)=x^2+1/(x^2)

    Text Solution

    |

  6. The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N, has a local minimum...

    Text Solution

    |

  7. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

    Text Solution

    |

  8. f(x)={cos(pix)/2,x >0x+a ,xlt=0 Find the values of a if x=0 is a poin...

    Text Solution

    |

  9. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |

  10. Leg f(x) be a cubic polynomial which has local maximum at x=-1a n df(x...

    Text Solution

    |

  11. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

    Text Solution

    |

  12. Find the maximum value of f(x)=(1/x)^x

    Text Solution

    |

  13. Let f(x)=2x^3=9x^2+12 x+6. Discuss the global maxima and minima of f(x...

    Text Solution

    |

  14. Find the greatest and least values of function f(x)=3x^4-8x^3-18 x^...

    Text Solution

    |

  15. Find the greatest and least values of function f(x)={-x ,\ \ \ \ -...

    Text Solution

    |

  16. Find greatest and least values of f(x)=(a^2)/x+(b^2)/(1-x),\ x\ in...

    Text Solution

    |

  17. Find greatest and least values of f(x)=((a+x)(b+x))/((c+x)),\ x >-...

    Text Solution

    |

  18. Find greatest and least values of f(x)=x-sin2x+1/3sin3x ,\ x\ in [...

    Text Solution

    |

  19. Discuss the global maxima and global minima of f(x)=tan^(-1)(log)e x ...

    Text Solution

    |

  20. The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e...

    Text Solution

    |