Home
Class 12
MATHS
For the function f(x) = (x-1) (x-2) difi...

For the function f(x) = (x-1) (x-2) difined on `[0,(1)/(2)]`, the value of c satisfying Lagrange's mean value theorem is

A

`(1)/(5)`

B

`(1)/(3)`

C

`(1)/(7)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|39 Videos

Similar Questions

Explore conceptually related problems

Define Lagrange's Mean value theorem.

State Lagrange's mean value theorem.

For the function f(x) = (x-1) ( x-2) ( x-3) in [0,4], value of 'c' in Lagrange's mean value theorem is

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

In [-1,1] , Lagrange's Mean Value theorem is applicable to

If the function f(x) = x^3 + e^(x/2) and g(x) =f^-1(x) , then the value of g'(1) is

Lagrange's mean value theorem cannot be applied for

The value of 'c' in Lagrange's mean value theorem for f(x) = log x on [ 1,e] is

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)-Mathematics
  1. If z is a complex number with |z|ge 5 . Then the least value of |z +...

    Text Solution

    |

  2. Delta ABC is formed by a (1,8,4), B (0, -11,4) and C(2,-3,1) . If D...

    Text Solution

    |

  3. For the function f(x) = (x-1) (x-2) difined on [0,(1)/(2)], the valu...

    Text Solution

    |

  4. A container is the shape of an inverted cone. Its height is 6m and rad...

    Text Solution

    |

  5. If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in ...

    Text Solution

    |

  6. If the mean and variance of a binomial variate X are (4)/(3),(8)/(9) ...

    Text Solution

    |

  7. If alpha is a non-real root of x^(7) = 1 then alpha (1 + alpha)(1 +...

    Text Solution

    |

  8. If cot (cos^(-1) x) = sec {tan^(-1) ((a)/(sqrt(b^(2)-a^(2))))}:bgt a,...

    Text Solution

    |

  9. In Delta ABC, L, M, N are points on BC, CA, AB respectively , dividi...

    Text Solution

    |

  10. The point to which the orgine is to be shifted to remove the first d...

    Text Solution

    |

  11. If alpha , beta, gamma are the lengths of the tangents from the ver...

    Text Solution

    |

  12. If int(0)^(10)f (x) dx = 5 "then" underset(k=1)overset(10)sumint(0)^(1...

    Text Solution

    |

  13. The angle between the tangents drawn from the point (1,2) to the ellip...

    Text Solution

    |

  14. If lx+ my = 1 is a normal to the hyperbola (x^(2))/(a^(2)) - (y^(...

    Text Solution

    |

  15. int(x^(e-1)+e^(x-1))/(x^(e)+e^(x))dx=

    Text Solution

    |

  16. If Delta =|{:(" "1,cos theta,1),(-cos theta," "1,cos theta),(-1,-costh...

    Text Solution

    |

  17. The equation of the circle whose diameter is the common chord of the...

    Text Solution

    |

  18. (x - 1)/(3x +4) lt(x - 3)/(3x-2) holds. for all x in the interval

    Text Solution

    |

  19. There are 10 intermediate stations on a railway line between two parti...

    Text Solution

    |

  20. The figure formed by the pairs of lines 6x^(2) + 13xy + 6y^(2) = 0 an...

    Text Solution

    |