Home
Class 12
MATHS
Statement I for f(x)={{:((1)/(2)-x",",xl...

Statement I for `f(x)={{:((1)/(2)-x",",xlt(1)/(2)),(((1)/(2)-x)^(2)",",xge(1)/(2)):}` mean value theorem is applicable in the interval `[0, 1]`
Statement II For application of mean value theorem, f(x) must be continuous in [0,1] and differentiable in (0, 1).

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|8 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise EXERCISE : 5|1 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

Verify mean value theorem, if f(x) = x^(2) - 4x in the interval [1, 4].

Lagrange's mean value theorem is not applicable to f(x) in [1,4] where f(x) =

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

The mean value of the function f(x)= 2/(e^x+1) in the interval [0,2] is

Verify mean value theorem for the function f(x) = 1/(4x-1) in [1,4]

Rolle's theorem is applicable for the function f(x) = |x-1| in [0,2] .

Verify mean value theorem for the function f(x)=sqrt(25-x^(2)) in [1,5]

Verify mean value theorem for the function f(x) = x^(3)-2x^(2)-x+3 in [0,1]

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

In [0,1] , lagrange mean value theorem is NOT applicable to