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I : The equation of the ellipse with its...

I : The equation of the ellipse with its axes as the coordinate axes respectively and whose latus rectum = 8 and eccentricity `=1//sqrt(2) " is " x^(2)//64+y^(2)//32=1`
II : The equation o the ellipse with its axes as the coordinate axes respectively and whose minor axis = 6 and eccentricity = 1/2 is `x^(2)//12+y^(2)//9=1`

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II true

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Knowledge Check

  • The equation to the hyperbola referred to its axes as coordinate axes , whose latus rectum is 4 and eccentricity is 3 is

    A
    `16x^(2) -2y^(2) =1`
    B
    ` 2x^(2) -16y^(2) =1`
    C
    ` 8x^(2) =2y^(2) =1`
    D
    ` 3x^(2) -8y^(2) =1`

  • The eccentricity of ellipse x^(2)/16+y^(2)/9=1 is

    A
    `7/(16)`
    B
    `5/4`
    C
    `sqrt7/4`
    D
    `sqrt7/2`

  • 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 ellipes referred to its major and minor axes as the co-ordinate axes X, Y- respectively with latus rectum of length 4 and distance between foci 4sqrt2 .

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