General
Easy
Maths-

For f space left parenthesis x right parenthesis equals 4 minus left parenthesis 6 minus x right parenthesis to the power of 2 divided by 3 end exponent in [5, 7]

Maths-General

  1. Lagranges theorem is applicable but Rolles theorem is not applicable    
  2. both theorems are not applicable    
  3. Lagranges theorem is applicable    
  4. Rolle's theorem is applicable    

    Answer:The correct answer is: both theorems are not applicable

    Book A Free Demo

    +91

    Grade*

    Related Questions to study

    General
    maths-

    The value of 'c' of Rolle's theorem for f space left parenthesis x right parenthesis equals l o g space open parentheses x squared plus 2 close parenthesesl o g subscript 3 end subscript on [–1, 1] is

    The value of 'c' of Rolle's theorem for f space left parenthesis x right parenthesis equals l o g space open parentheses x squared plus 2 close parenthesesl o g subscript 3 end subscript on [–1, 1] is

    maths-General
    General
    maths-

    The value of 'c' of Rolle's mean value theorem for f space left parenthesis x right parenthesis equals vertical line x vertical line equals i n space left square bracket negative 1 , 1 right square bracket is

    The value of 'c' of Rolle's mean value theorem for f space left parenthesis x right parenthesis equals vertical line x vertical line equals i n space left square bracket negative 1 , 1 right square bracket is

    maths-General
    General
    maths-

    The value of 'c' of Lagrange's mean value theorem for f space left parenthesis x right parenthesis equals x squared minus 3 x minus 2 text  for  end text x element of left square bracket negative 1 , 2 right square bracket is

    The value of 'c' of Lagrange's mean value theorem for f space left parenthesis x right parenthesis equals x squared minus 3 x minus 2 text  for  end text x element of left square bracket negative 1 , 2 right square bracket is

    maths-General
    General
    maths-

    If x is real, then maximum value of fraction numerator 3 x to the power of 2 end exponent plus 9 x plus 17 over denominator 3 x to the power of 2 end exponent plus 9 x plus 7 end fraction is

    If x is real, then maximum value of fraction numerator 3 x to the power of 2 end exponent plus 9 x plus 17 over denominator 3 x to the power of 2 end exponent plus 9 x plus 7 end fraction is

    maths-General
    General
    physics-

    A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively

    Velocity at  when dropped from  where


    Or  (i)
    Potential energy at  (ii)

     Kinetic energy  potential energy

    A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively

    physics-General
    Velocity at  when dropped from  where


    Or  (i)
    Potential energy at  (ii)

     Kinetic energy  potential energy
    General
    maths-

    Assertion (A) :If fraction numerator 5 x plus 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x plus 2 end fraction plus fraction numerator B over denominator x minus 1 end fraction, then A equals 3 comma B equals 2
    Reason (R) :fraction numerator P x plus q over denominator left parenthesis x minus a right parenthesis left parenthesis x minus b right parenthesis end fraction equals fraction numerator P a plus q over denominator left parenthesis x minus a right parenthesis left parenthesis a minus b right parenthesis end fraction plus fraction numerator P b plus q over denominator left parenthesis x minus b right parenthesis left parenthesis b minus a right parenthesis end fraction

    Assertion (A) :If fraction numerator 5 x plus 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x plus 2 end fraction plus fraction numerator B over denominator x minus 1 end fraction, then A equals 3 comma B equals 2
    Reason (R) :fraction numerator P x plus q over denominator left parenthesis x minus a right parenthesis left parenthesis x minus b right parenthesis end fraction equals fraction numerator P a plus q over denominator left parenthesis x minus a right parenthesis left parenthesis a minus b right parenthesis end fraction plus fraction numerator P b plus q over denominator left parenthesis x minus b right parenthesis left parenthesis b minus a right parenthesis end fraction

    maths-General
    General
    maths-

    If 9P5 + 5 9P4 = 10Pr , then r =

    If 9P5 + 5 9P4 = 10Pr , then r =

    maths-General
    General
    maths-

    Total number of divisors of 480, that are of the form 4n + 2, n  0, is equal to :

    Total number of divisors of 480, that are of the form 4n + 2, n  0, is equal to :

    maths-General
    General
    maths-

    The sum of all the numbers that can be formed with the digits 2, 3, 4, 5 taken all at a time is (repetition is not allowed) :

    The sum of all the numbers that can be formed with the digits 2, 3, 4, 5 taken all at a time is (repetition is not allowed) :

    maths-General
    General
    maths-

    A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct, is equal to :

    A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct, is equal to :

    maths-General
    General
    maths-

    How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even position ?

    How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even position ?

    maths-General
    General
    maths-

    The value of 'c' in Lagrange's mean value theorem for f space left parenthesis x right parenthesis equals x cubed minus 2 x squared minus x plus 4 in [0, 1] is

    The value of 'c' in Lagrange's mean value theorem for f space left parenthesis x right parenthesis equals x cubed minus 2 x squared minus x plus 4 in [0, 1] is

    maths-General
    General
    maths-

    The value of 'c' in Lagrange's mean value theorem for f space left parenthesis x right parenthesis equals x space left parenthesis x minus 2 right parenthesis squared in [0, 2] is

    The value of 'c' in Lagrange's mean value theorem for f space left parenthesis x right parenthesis equals x space left parenthesis x minus 2 right parenthesis squared in [0, 2] is

    maths-General
    General
    maths-

    The equation r equals a c o s space theta plus b s i n space theta represents

    The equation r equals a c o s space theta plus b s i n space theta represents

    maths-General
    General
    maths-

    The polar equation of the circle whose end points of the diameter are open parentheses square root of 2 comma fraction numerator pi over denominator 4 end fraction close parentheses and open parentheses square root of 2 comma fraction numerator 3 pi over denominator 4 end fraction close parentheses is

    The polar equation of the circle whose end points of the diameter are open parentheses square root of 2 comma fraction numerator pi over denominator 4 end fraction close parentheses and open parentheses square root of 2 comma fraction numerator 3 pi over denominator 4 end fraction close parentheses is

    maths-General