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Find the equation of the hyperbola whose...

Find the equation of the hyperbola whose foci are `(+-5,0)` the transverse axis is of length 8.

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Knowledge Check

  • The equation of the hyperbola whose foci are ( +- 5,0) and eccentricity 5/3 is

    A
    ` (x^(2))/( 9) -y^( 2)/( 16) =1`
    B
    ` ( x^(2) )/( 4) -( y^(2))/( 16) = 1`
    C
    ` (x^(2) )/( 9) +( y^(2)) /( 6) = 1 `
    D
    ` (x^(2))/( 4) +(y^(2))/( 16) = 1 `

  • The equation of the hyperbola with is axes coordinates axes , whose tranverse axis 8 and eccentricity 3/2 is

    A
    ` ( x^(2))/( 9) -( y^(2))/( 4)=1`
    B
    ` (x^(2))/( 16) -( y^(2))/( 20 ) =1`
    C
    ` (x^(2))/( 25) -( y^(2))/( 11) =1`
    D
    ` (x^(2))/( 16) -( y^(2))/( 9) =1`

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    Find the equation of the hyperbola whose foci are (1,2), e=sqrt3 and the directrix is 2x+y=1.

    Find the equation to the hyperola of given length of transverse axis 5 and the join of centre and focus is bisected by vertex.

    Find the equation of the hyperbola where foci are (0,+-12) and the length of the latus rectum is 36 .

    Find the equation of the hyperbola of given length of transvers axis 6 whose vertex bisects of the distance between the centre and the focus.

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