General
Easy
Maths-

The period of the function open vertical bar sin cubed space x over 2 close vertical bar plus open vertical bar cos to the power of 5 space x over 5 close vertical bar is

Maths-General

  1. 8 pi
  2. 10 pi
  3. 5 pi
  4. 2 pi

    Answer:The correct answer is: 10 pi

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    In any straight triangle A B C fraction numerator left parenthesis a plus b plus c right parenthesis left parenthesis b plus c minus a right parenthesis left parenthesis c plus a minus b right parenthesis left parenthesis a plus b minus c right parenthesis over denominator 4 b squared c squared end fraction =

    In any straight triangle A B C fraction numerator left parenthesis a plus b plus c right parenthesis left parenthesis b plus c minus a right parenthesis left parenthesis c plus a minus b right parenthesis left parenthesis a plus b minus c right parenthesis over denominator 4 b squared c squared end fraction =

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    The period of the function f left parenthesis x right parenthesis equals left square bracket 6 x plus 7 right square bracket plus cos space pi x minus 6 x where [.] de-notes the greatest integer function, is

    The period of the function f left parenthesis x right parenthesis equals left square bracket 6 x plus 7 right square bracket plus cos space pi x minus 6 x where [.] de-notes the greatest integer function, is

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    In straight triangle A B C sum a cubed Sin space left parenthesis B minus C right parenthesis =

    In straight triangle A B C sum a cubed Sin space left parenthesis B minus C right parenthesis =

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    In straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals

    In straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals

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    If the period of fraction numerator cos space left parenthesis sin space left parenthesis n x right parenthesis right parenthesis over denominator tan space left parenthesis x divided by n right parenthesis end fraction comma n element of N is 6 pi then n=

    If the period of fraction numerator cos space left parenthesis sin space left parenthesis n x right parenthesis right parenthesis over denominator tan space left parenthesis x divided by n right parenthesis end fraction comma n element of N is 6 pi then n=

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    Let f left parenthesis x right parenthesis equals cos space square root of p x where p equals left square bracket a right square bracket where  is the integral part of x. If the period of f(x) is pi, then a element of

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    Which of the following options is correct for the object having a straight line motion represented by the following graph

    From given figure, it is clear that the net displacement is zero. So average velocity will be zero

    Which of the following options is correct for the object having a straight line motion represented by the following graph

    physics-General
    From given figure, it is clear that the net displacement is zero. So average velocity will be zero
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    A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to

    Average speed is the ratio of distance to time taken
    Distance travelled from 0 to 5 s equals 40 blank m
    Distance travelled from 5 to 10 s equals 0 blank m
    Distance travelled from 10 to 15 s equals 60 blank m
    Distance travelled from 15to 20 s equals 20
    So, total distance equals 40 plus 0 plus 60 plus 20 equals 120 blank m
    Total time taken equals 20 blank m i n u t e s
    Hence, average speed
    equals fraction numerator d i s t a n c e blank t r a v e l l e d blank left parenthesis m right parenthesis over denominator t i m e blank left parenthesis m i n right parenthesis end fraction equals fraction numerator 120 over denominator 20 end fraction equals 6 blank m divided by m i n

    A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to

    physics-General
    Average speed is the ratio of distance to time taken
    Distance travelled from 0 to 5 s equals 40 blank m
    Distance travelled from 5 to 10 s equals 0 blank m
    Distance travelled from 10 to 15 s equals 60 blank m
    Distance travelled from 15to 20 s equals 20
    So, total distance equals 40 plus 0 plus 60 plus 20 equals 120 blank m
    Total time taken equals 20 blank m i n u t e s
    Hence, average speed
    equals fraction numerator d i s t a n c e blank t r a v e l l e d blank left parenthesis m right parenthesis over denominator t i m e blank left parenthesis m i n right parenthesis end fraction equals fraction numerator 120 over denominator 20 end fraction equals 6 blank m divided by m i n
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    The function sin space open parentheses x squared close parentheses plus cosplus cos space square root of x is

    The function sin space open parentheses x squared close parentheses plus cosplus cos space square root of x is

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    A particle is moving with uniform acceleration along a straight line. The average velocity of the particle from P to Q is 8 m s to the power of negative 1 end exponent and that from Q to Sis 12 m s to the power of negative 1 end exponent. If Q S minus P Q, then the average velocity from P to S is

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    Average velocity equals fraction numerator 2 cross times 8 cross times 12 over denominator 8 plus 12 end fraction m s to the power of negative 1 end exponent equals 9.6 m s to the power of negative 1 end exponent
    General
    physics-

    In a sine wave, position of different particles at time t equals 0 is shown in figure. The equation for this wave travelling along positive x minus a x i s can be

    As is clear from figure, att equals 0 comma x equals 0, displacementy equals 0. Therefore, option (a)or (d)may be correct.
    In case of (d);y equals A sin invisible function application left parenthesis k x minus omega t right parenthesis
    fraction numerator d y over denominator d t end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets negative omega close square brackets
    fraction numerator d y over denominator d x end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets k close square brackets
    fraction numerator fraction numerator d y over denominator d t end fraction over denominator d y divided by d x end fraction equals fraction numerator negative omega A cos invisible function application left parenthesis k x minus omega t right parenthesis over denominator k A cos invisible function application left parenthesis k x minus omega t right parenthesis end fraction equals negative fraction numerator omega over denominator k end fraction equals negative v
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    i e blank p a r t i c l e blank v e l o c i t y equals negative left parenthesis w a v e blank s p e e d right parenthesis cross times s l o p e.
    And slope at x equals 0 and t equals 0is positive, in figure. Therefore, particle velocity is in negative y-direction.

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    physics-General
    As is clear from figure, att equals 0 comma x equals 0, displacementy equals 0. Therefore, option (a)or (d)may be correct.
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    fraction numerator d y over denominator d t end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets negative omega close square brackets
    fraction numerator d y over denominator d x end fraction equals A cos invisible function application left parenthesis k x minus omega t right parenthesis open square brackets k close square brackets
    fraction numerator fraction numerator d y over denominator d t end fraction over denominator d y divided by d x end fraction equals fraction numerator negative omega A cos invisible function application left parenthesis k x minus omega t right parenthesis over denominator k A cos invisible function application left parenthesis k x minus omega t right parenthesis end fraction equals negative fraction numerator omega over denominator k end fraction equals negative v
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    And slope at x equals 0 and t equals 0is positive, in figure. Therefore, particle velocity is in negative y-direction.
    General
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    i) 

    ii) 

    iii) 

    iv)  Me minus identical to negative straight H rightwards arrow with text  dil.H  end text subscript 2 SO subscript 4 plus Hg to the power of 2 plus end exponent on top

    Which of the statements are correct?

    i) 

    ii) 

    iii) 

    iv)  Me minus identical to negative straight H rightwards arrow with text  dil.H  end text subscript 2 SO subscript 4 plus Hg to the power of 2 plus end exponent on top

    Which of the statements are correct?

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    s equals fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent [because u equals 0]
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    A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time (t)

    physics-General
    s equals u t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent
    s equals fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent [because u equals 0]
    It is an equation of parabola
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    The value of integer n for which the function f left parenthesis x right parenthesis equals fraction numerator sin begin display style space end style x x over denominator sin begin display style space end style left parenthesis x divided by n right parenthesis end fraction has 4 pi as its period is

    The value of integer n for which the function f left parenthesis x right parenthesis equals fraction numerator sin begin display style space end style x x over denominator sin begin display style space end style left parenthesis x divided by n right parenthesis end fraction has 4 pi as its period is

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