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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

Maths-General

  1. A is true but R is false 
  2. Both A & R are true and R is correct explanation of A
  3. Both A & R are true and R is not correct explanation of A
  4. A is false but R is true

    Answer:The correct answer is: Both A & R are true and R is correct explanation of A

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    Related Questions to study

    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
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    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
    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
    physics-

    A force–time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and  is

    As the area above the time axis is numerically equal to area below the time axis therefore net momentum gained by body will be zero because momentum is a vector quantity

    A force–time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and  is

    physics-General

    As the area above the time axis is numerically equal to area below the time axis therefore net momentum gained by body will be zero because momentum is a vector quantity

    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
    maths-

    Assertion (A):Iffraction numerator 1 over denominator left parenthesis x minus 2 right parenthesis open parentheses x squared plus 1 close parentheses end fraction equals fraction numerator A over denominator x minus 2 end fraction plus fraction numerator B x plus C over denominator x squared plus 1 end fraction ,then Aequals 1 fifth comma B equals 1 fifth comma C equals negative 2 over 5
    Reason (R) : fraction numerator 1 over denominator left parenthesis x minus a right parenthesis open parentheses x squared plus b close parentheses end fraction equals fraction numerator 1 over denominator a squared plus b end fraction open square brackets fraction numerator 1 over denominator x minus a end fraction minus fraction numerator x plus a over denominator x squared plus b end fraction close square brackets

    Assertion (A):Iffraction numerator 1 over denominator left parenthesis x minus 2 right parenthesis open parentheses x squared plus 1 close parentheses end fraction equals fraction numerator A over denominator x minus 2 end fraction plus fraction numerator B x plus C over denominator x squared plus 1 end fraction ,then Aequals 1 fifth comma B equals 1 fifth comma C equals negative 2 over 5
    Reason (R) : fraction numerator 1 over denominator left parenthesis x minus a right parenthesis open parentheses x squared plus b close parentheses end fraction equals fraction numerator 1 over denominator a squared plus b end fraction open square brackets fraction numerator 1 over denominator x minus a end fraction minus fraction numerator x plus a over denominator x squared plus b end fraction close square brackets

    maths-General
    General
    maths-

    The greatest possible number of points of intersections of 8 straight line and 4 circles is :

    The greatest possible number of points of intersections of 8 straight line and 4 circles 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-

    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 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-

    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]

    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
    General
    maths-

    A particle begins at the origin and moves successively in the following manner as shown, 1 unit to the right, 1/2 unit up, 1/4 unit to the right, 1/8 unit down, 1/16 unit to the right etc. The length of each move is half the length of the previous move and movement continues in the ‘zigzag’ manner indefinitely. The co-ordinates of the point to which the ‘zigzag’ converges is –

    A particle begins at the origin and moves successively in the following manner as shown, 1 unit to the right, 1/2 unit up, 1/4 unit to the right, 1/8 unit down, 1/16 unit to the right etc. The length of each move is half the length of the previous move and movement continues in the ‘zigzag’ manner indefinitely. The co-ordinates of the point to which the ‘zigzag’ converges is –

    maths-General