General
Easy
Maths-

The maximum value of the expression open vertical bar square root of open parentheses sin squared space x plus 2 a squared close parentheses end root minus square root of open parentheses 2 a squared minus 1 minus cos squared space x close parentheses end root close vertical bar

where a and  are real numbers is

Maths-General

  1. square root of 3
  2. square root of 2
  3. 1
  4. square root of 5

    Answer:The correct answer is: square root of 2

    Book A Free Demo

    +91

    Grade*

    Related Questions to study

    General
    maths-

    If cos space left parenthesis A plus B plus C right parenthesis equals cos space A cos space B cos space C comma then fraction numerator 8 sin space left parenthesis B plus C right parenthesis sin space left parenthesis C plus A right parenthesis sin space left parenthesis A plus B right parenthesis over denominator sin space 2 A sin space 2 B sin space 2 C end fraction =

    If cos space left parenthesis A plus B plus C right parenthesis equals cos space A cos space B cos space C comma then fraction numerator 8 sin space left parenthesis B plus C right parenthesis sin space left parenthesis C plus A right parenthesis sin space left parenthesis A plus B right parenthesis over denominator sin space 2 A sin space 2 B sin space 2 C end fraction =

    maths-General
    General
    maths-

    If tan space theta minus cot space theta equals a and cos space theta minus sin space theta equals b then open parentheses a squared plus 4 close parentheses open parentheses b squared minus 1 close parentheses squared

    If tan space theta minus cot space theta equals a and cos space theta minus sin space theta equals b then open parentheses a squared plus 4 close parentheses open parentheses b squared minus 1 close parentheses squared

    maths-General
    General
    maths-

    sin to the power of 4 space pi over 16 plus sin to the power of 4 fraction numerator 3 pi over denominator 16 end fraction plus sin to the power of 4 space fraction numerator 5 pi over denominator 16 end fraction plus sin to the power of 4 space fraction numerator 7 pi over denominator 16 end fraction

    sin to the power of 4 space pi over 16 plus sin to the power of 4 fraction numerator 3 pi over denominator 16 end fraction plus sin to the power of 4 space fraction numerator 5 pi over denominator 16 end fraction plus sin to the power of 4 space fraction numerator 7 pi over denominator 16 end fraction

    maths-General
    General
    maths-

    The maximum value of open parentheses cos space alpha subscript 1 close parentheses open parentheses cos space alpha subscript 2 close parentheses horizontal ellipsis open parentheses cos space alpha subscript n close parentheses under the restrictions 0 less or equal than alpha subscript 1 comma alpha subscript 2 horizontal ellipsis horizontal ellipsis alpha subscript n less or equal than pi over 2 and cot space alpha subscript 1 times cot space alpha subscript 2 horizontal ellipsis horizontal ellipsis cot space alpha subscript n equals 1 is

    The maximum value of open parentheses cos space alpha subscript 1 close parentheses open parentheses cos space alpha subscript 2 close parentheses horizontal ellipsis open parentheses cos space alpha subscript n close parentheses under the restrictions 0 less or equal than alpha subscript 1 comma alpha subscript 2 horizontal ellipsis horizontal ellipsis alpha subscript n less or equal than pi over 2 and cot space alpha subscript 1 times cot space alpha subscript 2 horizontal ellipsis horizontal ellipsis cot space alpha subscript n equals 1 is

    maths-General
    General
    biology

    a squared plus b squared plus 2 a b cos space theta equals 1 comma c squared plus d squared plus 2 c d cos space theta equals 1 and a c plus b d plus left parenthesis a d plus b c right parenthesis cos space theta equals 0 then a squared plus c squared =

    a squared plus b squared plus 2 a b cos space theta equals 1 comma c squared plus d squared plus 2 c d cos space theta equals 1 and a c plus b d plus left parenthesis a d plus b c right parenthesis cos space theta equals 0 then a squared plus c squared =

    biologyGeneral
    General
    maths-

    Let P equals left curly bracket theta colon sin space theta minus cos space theta equals square root of 2 cos space theta right curly bracket text  and  end text Q equals left curly bracket theta colon sin space theta plus cos space theta equals square root of 2 sin space theta right curly bracket be two sets. Then

    Let P equals left curly bracket theta colon sin space theta minus cos space theta equals square root of 2 cos space theta right curly bracket text  and  end text Q equals left curly bracket theta colon sin space theta plus cos space theta equals square root of 2 sin space theta right curly bracket be two sets. Then

    maths-General
    General
    maths-

    If a sin space x plus b cos space left parenthesis x plus theta right parenthesis plus b cos space left parenthesis x minus theta right parenthesis equalsd then the minimum value of vertical line cos space theta vertical line is equal to (where  is variable)

    If a sin space x plus b cos space left parenthesis x plus theta right parenthesis plus b cos space left parenthesis x minus theta right parenthesis equalsd then the minimum value of vertical line cos space theta vertical line is equal to (where  is variable)

    maths-General
    General
    maths-

    cos to the power of 6 space pi over 16 plus cos to the power of 6 space fraction numerator 3 pi over denominator 16 end fraction plus cos to the power of 6 space fraction numerator 5 pi over denominator 16 end fraction plus cos to the power of 6 space fraction numerator 7 pi over denominator 16 end fraction =

    cos to the power of 6 space pi over 16 plus cos to the power of 6 space fraction numerator 3 pi over denominator 16 end fraction plus cos to the power of 6 space fraction numerator 5 pi over denominator 16 end fraction plus cos to the power of 6 space fraction numerator 7 pi over denominator 16 end fraction =

    maths-General
    General
    maths-

    If 0 less than alpha less than pi over 6 then alpha left parenthesis cosec space alpha right parenthesis is

    If 0 less than alpha less than pi over 6 then alpha left parenthesis cosec space alpha right parenthesis is

    maths-General
    General
    maths-

    If the equation cot to the power of 4 space x minus 2 cos space e c squared x plus a squared =0 has at least one solution, then the sum of all possible integral values of 'a' is equal to

    If the equation cot to the power of 4 space x minus 2 cos space e c squared x plus a squared =0 has at least one solution, then the sum of all possible integral values of 'a' is equal to

    maths-General
    General
    physics-

    A long cylindrical tube carries a highly polished piston and has a side opening. A tuning fork of frequency n is sounded at the sound heard by the listener charges if the piston is moves in or out. At a particular position of the piston is moved through a distance of 9 cm, the intensity of sound becomes minimum, if the speed of sound is 360 m/s, the value of n is

    When piston moves a distancex subscript 1 end subscript, path difference change by 2 xs.
    thereforethe path difference between maxima and consecutive minima=lambda divided by 2
    2 x equals lambda divided by 2
    Or
    λ=4x=4×9 cm=36cm=0.36m
    n equals fraction numerator v over denominator lambda end fraction equals fraction numerator 360 over denominator 0.36 end fraction equals 1000 blank H z

    A long cylindrical tube carries a highly polished piston and has a side opening. A tuning fork of frequency n is sounded at the sound heard by the listener charges if the piston is moves in or out. At a particular position of the piston is moved through a distance of 9 cm, the intensity of sound becomes minimum, if the speed of sound is 360 m/s, the value of n is

    physics-General
    When piston moves a distancex subscript 1 end subscript, path difference change by 2 xs.
    thereforethe path difference between maxima and consecutive minima=lambda divided by 2
    2 x equals lambda divided by 2
    Or
    λ=4x=4×9 cm=36cm=0.36m
    n equals fraction numerator v over denominator lambda end fraction equals fraction numerator 360 over denominator 0.36 end fraction equals 1000 blank H z
    General
    maths-

    The value of sum from n equals 1 to straight infinity of   fraction numerator tan begin display style space end style open parentheses theta over 2 to the power of n close parentheses over denominator 2 to the power of n minus 1 end exponent cos space theta over 2 to the power of n minus 1 end exponent end fraction is

    The value of sum from n equals 1 to straight infinity of   fraction numerator tan begin display style space end style open parentheses theta over 2 to the power of n close parentheses over denominator 2 to the power of n minus 1 end exponent cos space theta over 2 to the power of n minus 1 end exponent end fraction is

    maths-General
    General
    maths-

    The value of cot space fraction numerator 7 pi over denominator 16 end fraction plus 2 cot space fraction numerator 3 pi over denominator 8 end fraction plus cot space fraction numerator 15 pi over denominator 16 end fraction is

    The value of cot space fraction numerator 7 pi over denominator 16 end fraction plus 2 cot space fraction numerator 3 pi over denominator 8 end fraction plus cot space fraction numerator 15 pi over denominator 16 end fraction is

    maths-General
    General
    maths-

    In a triangle ABC

    In a triangle ABC

    maths-General
    General
    maths-

    For any real theta, the maximum value of  is cos squared space left parenthesis cos space theta right parenthesis plus sin squared space left parenthesis sin space theta right parenthesis is

    For any real theta, the maximum value of  is cos squared space left parenthesis cos space theta right parenthesis plus sin squared space left parenthesis sin space theta right parenthesis is

    maths-General