Home
Class 12
MATHS
Rolle's theorem hold for the function f(...

Rolle's theorem hold for the function `f(x)=x^(3)+bx^(2)+cx,1 le x le2` at the point 4/3, the values of b and c are

A

`b=8, c=-5`

B

`b=-5 c=8`

C

`a=-2//3, b=1`

D

`a=2//3, b=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 12)|19 Videos
  • APLICATIONS OF DERIVATIVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)|19 Videos
  • APPLICATIONS OF DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|11 Videos

Similar Questions

Explore conceptually related problems

It is given that the Rolles theorem holds for the function f(x)=x^(3)+bx^(2)+cx,x in[1,2] at the point x=(4)/(3). Find the values of b and c

It is given that the Rolles theorem holds for the function f(x)=x^3+b x^2+c x ,\ \ x in [1,2] at the point x=4/3 . Find the values of b and c .

Verify Rolle's theorem for the function f(x) = 2x^(3) + x^(2) - 4x -2 .

If Rolle's theorem holds for the function f(x) =x^(3) + bx^(2) +ax -6 for x in [1,3] , then a+4b=

If Rolle's theorem holds for the function f(x)=ax^(3)+bx^(2)+5x+1, x in [1, 2] with c=(3)/(2) , find the values of a and b.

If Rolle's theoram holds for the function f(x) 2x^(3)+bx^(2)+cx , xepsilon[-1,1],"at the point x" = 1/2 ,then 2b + c equals :

If Rolle's theorem holds for the function f(x)=2x^(3)+bx^(2)+cx On the interval [-1,1] at the point K=(1)/(2) then the value of 9b-(c)/(47)= ............

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

Verify Rolle's theorem the function f(x) = x^(3)-4x on [-2,2]

MARVEL PUBLICATION-APLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 12)
  1. Rolle's theorem hold for the function f(x)=x^(3)+bx^(2)+cx,1 le x le2 ...

    Text Solution

    |

  2. If S=16+ 192 t-t^(3), then distance tavelled by the particle before co...

    Text Solution

    |

  3. The distances moved by a particle in time t seconds is given by s=t^(3...

    Text Solution

    |

  4. A stone thrown vertically upwards rises S ft in t seconds where S =11...

    Text Solution

    |

  5. If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is

    Text Solution

    |

  6. If the circumference of a circle at the rate of 0.2 cm //sec, then, wh...

    Text Solution

    |

  7. A stone is dropped into a quiet pond and waves spread in the form of c...

    Text Solution

    |

  8. Perimeter of square increases at the rate of 0.4 cm// sec. When the si...

    Text Solution

    |

  9. Each side of an equilateral triangle increases at a uniform rate of 0....

    Text Solution

    |

  10. If the surface area of a cube increases at the rate of 0.6cm^(2) //sec...

    Text Solution

    |

  11. If V denotes the volume and S is the surface area of a sphere. If radi...

    Text Solution

    |

  12. Water is poured into an inverted cone of semi-vertical angle 30^(@) at...

    Text Solution

    |

  13. A ladder 10 m long leans against a house. When its foot is 6 m from th...

    Text Solution

    |

  14. If y=(log x) - (2)/(x), x=(1)/(2), deltax =10 ^(-8), then delta y ~~…

    Text Solution

    |

  15. If 1^(@) =0.0174^(c), then tan (45^(@) 50')~~…

    Text Solution

    |

  16. If diameter of a sphere is 2 cm with error 0.082 mm, then approximate ...

    Text Solution

    |

  17. If a wire of length l, with error delta l, is bent into an equilatera...

    Text Solution

    |

  18. if radius of a sphere is r with error delta r , and S is its surface ...

    Text Solution

    |

  19. If 1^(@) =0.018^(c), then sin^(2) (45 ^(@) 2')~~…

    Text Solution

    |

  20. A point P moves along the curve y=x^(3). If its abscissa is increasing...

    Text Solution

    |