Home
Class 12
MATHS
Verify Rolles theorem for the function f...

Verify Rolles theorem for the function `f(x)=(x-a)^m(x-b)^n` on the interval `[a , b],` where `m , n` are positive integers.

A

`(a+b)/(2)`

B

`(ma+nb)/(m+n)`

C

`(mb +na)/(m+n)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -2|69 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

Verify Rolles theorem for the function f(x)=x^2-5x+6 on the interval [2,3]dot

Verify Rolles theorem for the function f(x)=x^2-5x+6 on the interval [2, 3].

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

Verify Rolles theorem for the function f(x)=x^3-6x^2+11 x-6 on the interval [1, 3].

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

Verify Rolles theorem for function f(x)=(x-1)(x-2)^2 on [1,\ 2]

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

Verify Rolls theorem for the function f(x)=x^3-6x^2+11 x-6 on the interval [1,3] .

Verify Rolles theorem for function f(x)=(x^2-1)(x-2) on [-1,\ 2]

Verify Rolles theorem for function f(x)=x(x-4)^2 on [0,\ 4]

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1
  1. If the only point of inflection of the function f(x)-(x-a)^m(x-b)^n , ...

    Text Solution

    |

  2. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

    Text Solution

    |

  3. Verify Rolles theorem for the function f(x)=(x-a)^m(x-b)^n on the inte...

    Text Solution

    |

  4. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  5. Rolle’s theorem can not applicable for :

    Text Solution

    |

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

    Text Solution

    |

  7. In [0, 1] Lagrange's mean value theorem is not applicable to

    Text Solution

    |

  8. The Lagrange's mean value theorem is not applicable to f(x) in [2, 4],...

    Text Solution

    |

  9. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

    Text Solution

    |

  10. Let f(x)=8x^(3)-6x^(2)-2x+1, then

    Text Solution

    |

  11. Show that semi-vertical angle of a cone of maximum volume and given sl...

    Text Solution

    |

  12. Show that semi-vertical angle of right circular cone of given total su...

    Text Solution

    |

  13. A window is in the shape of a rectangle surmounted by a semi circle. I...

    Text Solution

    |

  14. A window of perimeter P (including the base of the arch) is in the ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. The total area of a page is 150c m^2dot The combined width of the marg...

    Text Solution

    |

  17. In a submarine telegraph cable the speed of signaling varies as x^2log...

    Text Solution

    |

  18. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  19. A running track of 440 ft is to be laid out enclosing a football field...

    Text Solution

    |

  20. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |