Home
Class 12
MATHS
The constant 'c' of Rolle's theorem for ...

The constant 'c' of Rolle's theorem for the function `f(x) =sin x` in `[0,2pi]` is

A

`pi//6`

B

`pi//3`

C

`pi//4`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E (MAXIMA AND MINIMA)|221 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (RATE OF CHANGE)|78 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

Verify Rolle's theorem for the function sinx-sin2x on [0,pi]

The constant c of Rolle's theorem for the function f(x)=(x-a)^m(x-b)^n in [a,b] where m,n are positive integers, is

The constant c of Rolle's theorem for the function f(x)=2x^3+x^2-4x-2 in [-sqrt2,sqrt2] is

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

The constant c of rolle's theorem for the function f(x)="log" (x^2+ab)/((a+b)x) in [a,b] where 0 notin[a,b] is

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

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1D (MEAN VALUE THEOREMS)
  1. The constant c of rolle's theorem for the function f(x)="log" (x^2+ab)...

    Text Solution

    |

  2. The constant c of Rolle's theorem for the function f(x)=(x-a)^m(x-b)^...

    Text Solution

    |

  3. The constant 'c' of Rolle's theorem for the function f(x) =sin x in [0...

    Text Solution

    |

  4. If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one ...

    Text Solution

    |

  5. If 2a+3b+6c=0 , then at least one root of the eqution ax^2+bx+c=0 lies...

    Text Solution

    |

  6. Rolle's theorem can not applicable for

    Text Solution

    |

  7. Rolle's theorem can not applicable for

    Text Solution

    |

  8. The constant c of the Lagrange's mean value theorem for the function f...

    Text Solution

    |

  9. The constant c of Lagrange's theorem for f(x)=x^3-4x^2+4x "in" [0,2] i...

    Text Solution

    |

  10. The constant c of Lagrange's theorem for f(x)=x(x-1)(x-2) "in" [0,1//2...

    Text Solution

    |

  11. The constant c of Lagrange's theorem for f(x)=(x-1)(x-2)(x-3) "in" [0...

    Text Solution

    |

  12. The constant c of Lagrange's theorem for f(x) =x/(x-1) "in" [2,4] is

    Text Solution

    |

  13. The constant c of Lagrange's mean value theorem for f(x) =2 sin x+ sin...

    Text Solution

    |

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

    Text Solution

    |

  15. The value of c in the Lagrange's mean - value theorem for f(x)=sqrt(x-...

    Text Solution

    |

  16. The constant c of Lagrange's theorem for f(x)=lx^2+mx+n(lne0) in [a,b]...

    Text Solution

    |

  17. The constant c of Lagrange's theorem for f(x)=lx^2+mx+n(lne0) in [a,b]...

    Text Solution

    |

  18. The constant theta of Lagrange's theorem for f(x) =x^2-2x+3 in [1,3/2]...

    Text Solution

    |

  19. Lagrange's theorem can not be applicable for

    Text Solution

    |

  20. Lagrange's theorem can not be applicable for

    Text Solution

    |