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The equation of the parabola having focu...

The equation of the parabola having focus at (-1, -2) and the directrix x - 2y + 3 = 0 is ……..

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The correct Answer is:
`4x^(2) + y^(2) + 4x + 32y + 16 = 0` is required parabola.
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Find the equation of the parabola with focus (2,0) and directrix x=-2 .

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Knowledge Check

  • Equation of parabola with focus (-3, 0) and directrix x + 5 = 0 is …….

    A
    `x^(2) = 4(y + 4)`
    B
    `x^(2) = 4 (y - 4)`
    C
    `y^(2) = 4(x + 4)`
    D
    `y^(2) = 4(x-4)`

  • The equation of the ellipse whose focus is (1, -1) the dirextrix the line x - y - 3 = 0 and eccentricity (1)/(2) is …….

    A
    `7x^(2) + 2xy + 7y^(2) - 10x + 10y + 7 = 0`
    B
    `7x^(2) + 2xy + 7y^(2) +7 = 0`
    C
    `7x^(2) + 2xy + 7y^(2) + 10x - 10y - 7 = 0`
    D
    None of these

  • If the vertex of the parabola is the point (-3, 0) and the directrix is the line x + 5 = 0, then its equation is ……

    A
    `y^(2) = 8(x + 3)`
    B
    `(x^(2) = 8 (y + 3)`
    C
    `(y^(2) = -8(x + 3)`
    D
    `y^(2) = 8(x + 5)`

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    Obtain the equation of the parabola with given conditions:Focus (4,0) and directrix is x + 4 = 0.

    Find the equation of the parabola whose focus is (5,3) and directrix is the line 3x-4y+1=0.

    The length of the latusrectum of the parbola whose focus is (3, 3) and directrix 3x-4y-2=0, is

    The parabola having its focus at (3,2) and directrix along the Y-axis has its vertex at

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