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

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

A

b = 8, c = -5

B

b = -5, c = 8

C

b = 5, c = -8

D

b = -5, c = -8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Multiple Choice Questions LEVEL-II|35 Videos

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|13 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

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

Verify Roll's theorem for the function f(x)= x^(2)+2, x in [-2,2]

Verify Rolle's theorem for the function f(x)=x^(2)+2x-8, x in [-4,2] .

Verify Rolles theorem for the function: f(x) = x^(2) + 2x -8,x in [-4,2]

Verify Rolle's theorem for the function f(x)=x^(2)-4x-3 , in the interval [1,4].

The value of c in Rolle's theorem for the function f(x) = e^(x).sin x, x in [0, pi] is

The value of 'c' in Rolle's theorem for the function f(x)=x^(3)-3x in the interval [0,sqrt(3)] is :

The value of C in mean value theorem for the function f(x)=x^(2) in [2, 4] is

If f(x)=x^(3)+bx^(2)+cx+d and 0 lt b^(2) lt c , then in (-oo, oo), f(x) :

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Recent Competitive Questions (Questions from Karnataka CET & COMED)
  1. Rolle's theorem holds for the function f(x)=x^(3)+bx^(2)+cx, 1 le x le...

    Text Solution

    |

  2. P is the point of contact of the tangent from the orign to the c...

    Text Solution

    |

  3. For the curve 4x^(5)=5y^(4), the ratio of the cube of the sub-tangent ...

    Text Solution

    |

  4. The set of real values of x for which f(x)=(x)/(logx) is increasing is...

    Text Solution

    |

  5. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  6. If for the curve y=1+bx-x^(2) the tangent at (1, -2) is parallel to x-...

    Text Solution

    |

  7. The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^...

    Text Solution

    |

  8. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  9. If sin^(-1) a is the acture angle between the curves x^(2) + y^(2) =4x...

    Text Solution

    |

  10. The maximum area of rectangle that can be inscribed in a circle of rad...

    Text Solution

    |

  11. A stone is dropped into a quiet lake and waves in circles at the speed...

    Text Solution

    |

  12. A gardener is digging a plot of land. As he gets tired, he works more ...

    Text Solution

    |

  13. If f(x)=x^(3) and g(x)=x^(3)-4x in -2lt x lt 2, then consider the stat...

    Text Solution

    |

  14. The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...

    Text Solution

    |

  15. The maximum value of ((1)/(x))^(2x^(2)) is :

    Text Solution

    |

  16. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  17. The sub tangent at x=(pi)/(2) on the curve y=sin x is :

    Text Solution

    |

  18. A balloon which always remains spherical is being inflated by pump...

    Text Solution

    |

  19. The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2

    Text Solution

    |

  20. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  21. The slant height of a cone is fixed at 7 cm. If the rate of increase ...

    Text Solution

    |