Maths-
General
Easy

Question

The equation of a hyperbola, whose foci are (5, 0) and (–5, 0) and the length of whose conjugate axis is 8, is

  1. 9 x to the power of 2 end exponent minus 16 y to the power of 2 end exponent equals 144    
  2. 16 x to the power of 2 end exponent minus 9 y to the power of 2 end exponent equals 144    
  3. 9 x to the power of 2 end exponent plus 16 y to the power of 2 end exponent equals 144    
  4. 16 x to the power of 2 end exponent minus 9 y to the power of 2 end exponent equals 12    

The correct answer is: 16 x to the power of 2 end exponent minus 9 y to the power of 2 end exponent equals 144


    b equals 4 Þ 2 a e equals 10 Þ 16 equals 25 minus a to the power of 2 end exponent Þ a equals 3
    Hence the hyperbola is 16 x to the power of 2 end exponent minus 9 y to the power of 2 end exponent equals 144.

    Related Questions to study

    General
    Maths-

    The radius of the director circle of the hyperbola fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction minus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, is

    The radius of the director circle of the hyperbola fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction minus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, is

    Maths-General
    General
    Chemistry-

    A black colored compound (A)on reaction with diluteH2SO4 gives a gas(B) which on passing in a solution ofan acid (C) gives a white turbidity (D). Gas (B) when placed in an acidified solution of acompound (E)gives aprecipitate(F)solubleindiluteHNO3.Afterboilingthissolution,whenanexcessofNH4OHisadded,bluecoloredcompound(G)is formed. Tothissolution on additionofCH3COOHandaqueous K4[Fe(CN)6],a chocolate precipitate(H)is obtainedOn addition of an aqueous solution ofBaCl2 to an aqueous solutionofE,awhitepptinsolubleinHNO3isobtained. Identify H:

    A black colored compound (A)on reaction with diluteH2SO4 gives a gas(B) which on passing in a solution ofan acid (C) gives a white turbidity (D). Gas (B) when placed in an acidified solution of acompound (E)gives aprecipitate(F)solubleindiluteHNO3.Afterboilingthissolution,whenanexcessofNH4OHisadded,bluecoloredcompound(G)is formed. Tothissolution on additionofCH3COOHandaqueous K4[Fe(CN)6],a chocolate precipitate(H)is obtainedOn addition of an aqueous solution ofBaCl2 to an aqueous solutionofE,awhitepptinsolubleinHNO3isobtained. Identify H:

    Chemistry-General
    General
    Chemistry-

    A black colored compound (A)on reaction with diluteH2SO4 gives a gas(B) which on passing in a solution ofan acid (C) gives a white turbidity (D). Gas (B) when placed nan acidified solution of compound(E)gives precipitate(F)solubleindiluteHNO3.Afterboilingthissolution,whenanexcessofNH4OHisadded,bluecoloredcompound(G) is formed. To this solution on additionofCH3COOHandaqueous K4[Fe(CN)6],a chocolate precipitate(H)isobtainedOn addition of an aqueous solution ofBaCl2 to an aqueous solutionofE,awhitepptinsolubleinHNO3isobtained. Identify C:

    A black colored compound (A)on reaction with diluteH2SO4 gives a gas(B) which on passing in a solution ofan acid (C) gives a white turbidity (D). Gas (B) when placed nan acidified solution of compound(E)gives precipitate(F)solubleindiluteHNO3.Afterboilingthissolution,whenanexcessofNH4OHisadded,bluecoloredcompound(G) is formed. To this solution on additionofCH3COOHandaqueous K4[Fe(CN)6],a chocolate precipitate(H)isobtainedOn addition of an aqueous solution ofBaCl2 to an aqueous solutionofE,awhitepptinsolubleinHNO3isobtained. Identify C:

    Chemistry-General
    parallel
    General
    Chemistry-

    black colored compound(A)on reaction with dil. H2SO4 gives a gas(B)which onpassingin solution of anacid (C) gives a white turbidity (D). Gas (B)when passed in an acidified solution of a compound(E) gives a black precipitate (F) which is soluble in hot concentrated (C).After boiling this solution whene xcess of ammonia solution is added, a blue colored compound (G) is formed. To the solution of(E), onaddition of acetic acid and aqueous potassium ferro­cyanide, a chocolate brown precipitate (H) is formed.OnadditionofanaqueoussolutionofBaCl2toan aqueoussolutionof(E),white precipitate insoluble in HNO3isobtained. To which of the followinproperty, will the compound(E)respond?

    black colored compound(A)on reaction with dil. H2SO4 gives a gas(B)which onpassingin solution of anacid (C) gives a white turbidity (D). Gas (B)when passed in an acidified solution of a compound(E) gives a black precipitate (F) which is soluble in hot concentrated (C).After boiling this solution whene xcess of ammonia solution is added, a blue colored compound (G) is formed. To the solution of(E), onaddition of acetic acid and aqueous potassium ferro­cyanide, a chocolate brown precipitate (H) is formed.OnadditionofanaqueoussolutionofBaCl2toan aqueoussolutionof(E),white precipitate insoluble in HNO3isobtained. To which of the followinproperty, will the compound(E)respond?

    Chemistry-General
    General
    Maths-

    The maximum value of left parenthesis log invisible function application x right parenthesis divided by x is

    The maximum value of left parenthesis log invisible function application x right parenthesis divided by x is

    Maths-General
    General
    Maths-

    The abscissa if points P blankand Q on the curve y equals e to the power of x end exponent plus blank e to the power of negative x end exponent such that tangents at P and Q make 60 with the x-axis

    The abscissa if points P blankand Q on the curve y equals e to the power of x end exponent plus blank e to the power of negative x end exponent such that tangents at P and Q make 60 with the x-axis

    Maths-General
    parallel
    General
    Maths-

    If f open parentheses x close parentheses equals x e to the power of x left parenthesis x minus 1 right parenthesis end exponent, then f left parenthesis x right parenthesis is

    If f open parentheses x close parentheses equals x e to the power of x left parenthesis x minus 1 right parenthesis end exponent, then f left parenthesis x right parenthesis is

    Maths-General
    General
    Maths-

    At what points of curve y equals fraction numerator 2 over denominator 3 end fraction x to the power of 3 end exponent plus fraction numerator 1 over denominator 2 end fraction x to the power of 2 end exponent, the tangent makes the equal angle with the axis?

    At what points of curve y equals fraction numerator 2 over denominator 3 end fraction x to the power of 3 end exponent plus fraction numerator 1 over denominator 2 end fraction x to the power of 2 end exponent, the tangent makes the equal angle with the axis?

    Maths-General
    General
    Maths-

    f open parentheses x close parentheses equals 4 tan invisible function application x minus tan to the power of 2 end exponent invisible function application x plus tan to the power of 3 end exponent invisible function application x comma blank x not equal to n pi plus fraction numerator pi over denominator 2 end fraction

    f open parentheses x close parentheses equals 4 tan invisible function application x minus tan to the power of 2 end exponent invisible function application x plus tan to the power of 3 end exponent invisible function application x comma blank x not equal to n pi plus fraction numerator pi over denominator 2 end fraction

    Maths-General
    parallel
    General
    Maths-

    The fuel charges for running a train are proportional to the square of the speed generated in km per hour, and the cost is Rs. 48 at 16 km per hour. If the fixed charges amount to Rs. 300 per hour, the most economical speed is

    The fuel charges for running a train are proportional to the square of the speed generated in km per hour, and the cost is Rs. 48 at 16 km per hour. If the fixed charges amount to Rs. 300 per hour, the most economical speed is

    Maths-General
    General
    Maths-

    Suppose that f is a polynomial of degree 3 and that f to the power of ´ ´ end exponent left parenthesis x right parenthesis not equal to 0 at any of the stationary point. Then

    Suppose that f is a polynomial of degree 3 and that f to the power of ´ ´ end exponent left parenthesis x right parenthesis not equal to 0 at any of the stationary point. Then

    Maths-General
    General
    Maths-

    Let f open parentheses x close parentheses equals cos invisible function application pi x plus 10 x plus 3 x to the power of 2 end exponent plus x to the power of 3 end exponent comma blank minus 2 less or equal than x less or equal than 3. The absolute minimum value of f left parenthesis x right parenthesis is

    Let f open parentheses x close parentheses equals cos invisible function application pi x plus 10 x plus 3 x to the power of 2 end exponent plus x to the power of 3 end exponent comma blank minus 2 less or equal than x less or equal than 3. The absolute minimum value of f left parenthesis x right parenthesis is

    Maths-General
    parallel
    General
    Maths-

    Let f open parentheses x close parentheses equals open curly brackets table row cell x plus 2 comma blank minus 1 less or equal than x less than 0 end cell row cell 1 comma blank x equals 0 blank end cell row cell fraction numerator x over denominator 2 end fraction comma blank 0 less than x less or equal than 1 end cell end table close Then on left square bracket negative 1 comma blank 1 right square bracket, this function has

    Let f open parentheses x close parentheses equals open curly brackets table row cell x plus 2 comma blank minus 1 less or equal than x less than 0 end cell row cell 1 comma blank x equals 0 blank end cell row cell fraction numerator x over denominator 2 end fraction comma blank 0 less than x less or equal than 1 end cell end table close Then on left square bracket negative 1 comma blank 1 right square bracket, this function has

    Maths-General
    General
    Maths-

    If ϕ left parenthesis x right parenthesis is a polynomial function and ϕ to the power of ´ end exponent open parentheses x close parentheses greater than ϕ open parentheses x close parentheses comma blank for all blank x greater or equal than 1 and ϕ open parentheses 1 close parentheses equals 0, then

    If ϕ left parenthesis x right parenthesis is a polynomial function and ϕ to the power of ´ end exponent open parentheses x close parentheses greater than ϕ open parentheses x close parentheses comma blank for all blank x greater or equal than 1 and ϕ open parentheses 1 close parentheses equals 0, then

    Maths-General
    General
    Maths-

    If f open parentheses x close parentheses equals x plus sin invisible function application x semicolon g open parentheses x close parentheses equals e to the power of negative x end exponent semicolon u equals square root of c plus 1 end root minus square root of c semicolon v equals square root of c minus square root of c minus 1 end root semicolon left parenthesis c greater than 1 right parenthesis, then

    If f open parentheses x close parentheses equals x plus sin invisible function application x semicolon g open parentheses x close parentheses equals e to the power of negative x end exponent semicolon u equals square root of c plus 1 end root minus square root of c semicolon v equals square root of c minus square root of c minus 1 end root semicolon left parenthesis c greater than 1 right parenthesis, then

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.