Home
Class 11
MATHS
Rolle's theorem holds for the function x...

Rolle's theorem holds for the function `x^(3) + bx^(2) + cx, 1 le x le2` at the point `(4)/(3)` , then vaue 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

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-I (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|1 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If the Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) + bx in the interval [-1,1] for the point c =1/2 , then the value of 2a + b is

It is given that Rolle’s theorem holds for the function f(x)=x^(3)+bx^(2)+ax on [1,3] with C = 2+(1)/sqrt(3) . Find the values a and b

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

Verify Rolle's theorem of the function log(x^2+2)-log 3 on (-1,1)

Verify Rolle's theorem for the function f(x) = x^2 - 5 x + 6 in the interval [-3,8]

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

Verify Rolle's theorem for the functions f(x)=x(x+3)e^(-x//2) on [-3,0]

AAKASH SERIES-MEAN VALUE THEOREMS-PRACTICE SHEET (EXERCISE-I (LEVEL-I))
  1. If (a(0))/(n+1) + ( a(1))/( n ) + ( a(2))/( n -1)+"......"+ (a(n-1))/...

    Text Solution

    |

  2. The value of 'c' in Rolle's theorem for f(x) = log ((x^(2) + ab)/(x(a...

    Text Solution

    |

  3. Rolle's theorem holds for the function x^(3) + bx^(2) + cx, 1 le x le...

    Text Solution

    |

  4. Let f(x) and g(x) be differentiable functions for 0 le x le 1 such t...

    Text Solution

    |

  5. Let f(x) = sqrt(x-1) + sqrt(x+ 24-10sqrt(x-1)),1 lt x lt 26 be real va...

    Text Solution

    |

  6. Rolle's theorem can not applicable for

    Text Solution

    |

  7. If f be a continuous function on [0,1], differentiable in (0,1) such t...

    Text Solution

    |

  8. Let f : [2,7] rarr [ 0 , oo) be a continuous and differentiable funct...

    Text Solution

    |

  9. A value of c for which the conclusion of Mean Value Theorem holds for ...

    Text Solution

    |

  10. The value of 'c' in Lagrange's mean value theorem for f(x) = log x on...

    Text Solution

    |

  11. The value of 'c' in Lagrange's mean value theorem for f(x) = x^(3)-2x^...

    Text Solution

    |

  12. The value of theta of mean value theorem for the function f(x) = ax^(2...

    Text Solution

    |

  13. The value of 'c' prescribed by Lagrange's mean value theorem , when f(...

    Text Solution

    |

  14. The value of C in the lagrange's mean value theroem for f(x) = sqrt( x...

    Text Solution

    |

  15. The value of 'theta' of the Lagrange's mean value theorem for f(x) = x...

    Text Solution

    |

  16. The chord joining the points where x=p and x=q on the curve y =a x^(2)...

    Text Solution

    |

  17. Value of 'c' of Lagrange's mean value theorem for f(x) = 2x - x^(2) i...

    Text Solution

    |

  18. If a lt c lt b , and if 1-k(1) lt ln ((b)/(a)) lt k(2) -1 , then ( ...

    Text Solution

    |

  19. If a(1) lt ( 257)^(1//4) -4 lt b (1), then (a(1) , b(1) ) ( a(1) , b(...

    Text Solution

    |

  20. For the function f(x) = (x-1) ( x-2) ( x-3) in [0,4], value of 'c' in ...

    Text Solution

    |