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The eccentricity of an ellipse with its ...

The eccentricity of an ellipse with its centre at the origin is `(1)/(2) ` . If one of the directrices is x = 4 , then the equation of ellipse is

A

`4x^2+3y^2=12`

B

`3x^2+4y^2=12`

C

`3x^2+4y^2=1`

D

`4x^2+3y^2=1`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The eccentricity of an ellipse, with its centre at the origin, is 1/2. If one of the directrices is x = 4 , then the equation of the ellipse is:

    A
    `4x^(2) +3y^(2) =1`
    B
    `3x^(2)+4y^(2)=12`
    C
    `4x^(2) +3y^(2) =12`
    D
    `3x^(2)+4y^(2)=1`

  • The eccentricity of the ellipse with its centre at the origin is 1/2. If one of the directrices is x= 4, then the equation of the ellipse is :

    A
    `3x^2 + 4y^2 = 1`
    B
    `3x^2 + 4y^2 = 12`
    C
    `4x^2 + 3y^2 = 12`
    D
    `4x^2 + 3y^2 -1`

  • The eccentricity of an ellipse, with its centre at the origin is 1/2 . If one of the directrix is x = 4 , then equation of the ellipse is

    A
    `3x^2 + 4y^2 = 1`
    B
    `3x^2 + 4y^2 = 12`
    C
    `4x^2 + 3y^2 = 12`
    D
    `4x^2 +3y^2 = 1`

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