Home
Class 12
MATHS
If Y=((ax-b))/((x-4)(x-1)) has extreme ...

If `Y=((ax-b))/((x-4)(x-1))` has extreme value at `(2,-1)` then the value of `(a+10b)` must be

A

a)0

B

b)-1

C

c)-2

D

d)1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

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

if int_0^(x^2(1+x))f(t)dt=x then the value of 10f(2) must be

If d/dx ((1+x^2 + x^4)/(1+x+x^2)) = ax + b , then the values of a and b are

The function f(x)=4x^(3)+ax^(2)+bx+2 has an extremum at (2,-2) , find the values of a and b . Show that , the function possesses a minimum value at the extreme point.

If int dx/(1 + sin x) = tan(x/2 + a) + b then the value of -(16a)/pi must be

The curve f(x)=(x^2+a x+b)/(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.

The function y=a log|x|+b x^(2)+x has two extreme values for x=-1 and x=2. Find the values of a and b.

If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then find a and b .

If f(x)=(ax-b)/(bx-a) , then find the value of f(1/x) .

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Let the function g,(-oo,oo)rarr(-pi/2,pi/2) be given by g(u)=2tan^(-1)...

    Text Solution

    |

  2. For the function f(x)=2x^2-In|x|

    Text Solution

    |

  3. If Y=((ax-b))/((x-4)(x-1)) has extreme value at (2,-1) then the value...

    Text Solution

    |

  4. The number of critical points of the function f(x)=|x|e^(-x) must be

    Text Solution

    |

  5. The minimum value of the function f(x)=2|x-2|+5|x-3| for all "x"inR is

    Text Solution

    |

  6. The coordinates of the point on the parabola y^2=8x which is at a mini...

    Text Solution

    |

  7. If f(x)=|x|+|x-1|+|x-2|, then

    Text Solution

    |

  8. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

    Text Solution

    |

  9. Let f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=-2):} then value of 'a' so tha...

    Text Solution

    |

  10. Let f(x)={(|x^2-2|,-1lexltsqrt3),(x/sqrt3,sqrt3lexlt2sqrt3),(3-x,2sqrt...

    Text Solution

    |

  11. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

    Text Solution

    |

  12. All the possible values of the paramter 'a' so that the function ,f(x)...

    Text Solution

    |

  13. The equation of the tangent to the curve y={(x^2sin"1/x,xne0),(0,x=0):...

    Text Solution

    |

  14. The equation of the normal to the curve y=e^(-2|x| at the point where ...

    Text Solution

    |

  15. If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off ...

    Text Solution

    |

  16. At the point P(a,a^n) on the graph of y=x^n(ninN) in the first quadran...

    Text Solution

    |

  17. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

    Text Solution

    |

  18. The area of the triangle formed by the positive x-axis, and the normal...

    Text Solution

    |

  19. The function f satisfying (f(b)-f(a))/(b-a)nef'(x) for any "x"in(a,b) ...

    Text Solution

    |

  20. Suppose that f is differntiable for all x such that f'(x)le2 for all x...

    Text Solution

    |