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One of the foci of the hyperbola is ori...

One of the foci of the hyperbola is origin and the corresponding directrix is ` 3x + 4y + 1=0 ` .The eccentricity of the hyperbola is ` sqrt 5`.The equation of the hyperbola is

A

only I is true

B

only II is true

C

both I and II are ture

D

neither I nor II true

Text Solution

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The correct Answer is:
C
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Knowledge Check

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

    A
    ` a//b`
    B
    ` sqrtb//a`
    C
    ` sqrt (13/3)`
    D
    ` sqrt13//3`

  • If the eccentricities of a hyperbola is sqrt3 ,then the eccentricity of its conjugates hyperbola is

    A
    `sqrt2`
    B
    ` sqrt3`
    C
    ` sqrt(3//2)`
    D
    ` 2sqrt3 `

  • If the eccentricity of a hyperbola is (5)/(3) , then the eccentricity of its conjugate hyperbola is

    A
    `(5)/(3)`
    B
    `(5)/(4)`
    C
    `(5)/(2)`
    D
    `(8)/(5)`

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