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The eccentricity of the hyperbola 4x^(2)...

The eccentricity of the hyperbola `4x^(2)-9y^(2) =36` is:

A

`sqrt(11)/3`

B

`sqrt(15)/3`

C

`sqrt(13)/3`

D

`sqrt(13)2`

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Knowledge Check

  • The eccentricity of the hyperbola x^2-y^2=4 is

    A
    2
    B
    `2sqrt2`
    C
    `sqrt2`
    D
    none of these

  • If e_(1) and e_(2) are the respective eccentricities of the hyperbola 4x^(2) - 9y^(2) = 36 and the ellipse 2x^(2) + 9y^(2) = 36 , then which of the following relation is true?

    A
    `2e_(2)^(2)+e_(1)^(2)=3`
    B
    `2e_(1)^(2)+e_(2)^(2)=4`
    C
    `e_(1)^(2)+e_(2)^(2)=2`
    D
    `e_(1)^(2)-2e_(2)^(2)=1`

  • If e_(1) and e_(2) be the eccentricities of the hyperbolas 9x^(2) - 16y^(2) = 576 and 9x^(2) - 16y^(2) = 144 respectively, then -

    A
    `e_(1) = 2e_(2)`
    B
    `e_(2) = 2e_(2)`
    C
    `2e_(1) = 3e_(2)`
    D
    `e_(1) = e_(2)`

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