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Find the equation of Hyperbola with one ...

Find the equation of Hyperbola with one focus at the origin and directrix x+3=0 and eccentricity `sqrt3`

Text Solution

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The correct Answer is:
`2x^(2)-y^(2)+18x+27=0`
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Knowledge Check

  • 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`
  • 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`
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    The equation of the parabola with focus (1,-1) and directrix x+y+3=0 is

    The equation of the parabola with focus (1,-1) and directrix x+y+3=0 is

    The equations of the parabola with focus (0,0) and directrix x+y=4, is