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Equation of the hyperbola with one focus...

Equation of the hyperbola with one focus at the origin and directrix x+3=0 and eccentricity `sqrt3` is

A

`x^(2)-2y^(2)+18x+27=0`

B

`2x^(2)-y^(2)+18x+27=0`

C

`x^(2)-2y^(2)-18x-27=0`

D

`2x^(2)-y^(2)-18x+27=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The equation of the parabola with the focus (3,0) and the directrix x+3=0 si

    A
    `y^(2)=3x`
    B
    `y^(2)=6x`
    C
    `y^(2)=12x`
    D
    `y^(2)=2x`

  • The equation or the parabola with the focus (3,0)and the directrix x + 3 = 0 is

    A
    `y^(2)=3x`
    B
    `y^(2)=6x`
    C
    `y^(2)=12x`
    D
    `y^(2)=2x`

  • i: The equation of the conic with focus at (1,-1) directrix along x-y+1 =0 and with eccentricity sqrt2 is 2xy -4x+ 4y + 1=0 II : One of the foci of the hyperbola is origin and the corresponding directrix is 3x+ 4y + 1=0 .The eccentricity of the hyperbola sqrt 5 .The equation of the hyperbola is 4x^(2) +11y ^(2) + 24xy + 6x+ 8y + 1=0

    A
    only I is true
    B
    only II is true
    C
    both I and II are ture
    D
    neither I nor II true

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