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The focus of a parabola is (1,2) and the...

The focus of a parabola is (1,2) and the point of intersection of the directrix and axis is (2,3).Then the equation of the parabola is

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If the focus =(2,3)and directrix is x+y=1 then the equation of the parabola is ____.

vertex and focus of a parabola are (-1,1) and (2,3) respectively.find the equation of the directrix.

Knowledge Check

  • If the focus of a parabola is (0,-3) and its directrix is y=3, then its equation is

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

  • If the focus of a parabola is at (0,-3) and its directrix is y = 3, then its equation is

    A
    `x^(2)=-12y`
    B
    `x^(2)=12y`
    C
    `y^(2)=-12x`
    D
    `y^(2)=112x`

  • If the focus of parabola is at (0,-2) and its directrix is y = 3 , then its equation is

    A
    `x^2=-12y`
    B
    `x^2=12y`
    C
    `y^2=-12y`
    D
    `y^2=12x`

    • Similar Questions

    Explore conceptually related problems

    Find the coordinates of the focus,axis,the equation of the directrix and latus rectum of the parabola y^(2)=8x

    The directrix of a parabola is x+y+4=0 and vertex is at (-1,-1). find the position of the of the focus and the equation of parabola.

    If the focus of the parabola is (-2,1) and the directrix has the equation x+y=3 then the vertex is

    If the focus of parabola is at (0, - 3) and its directrix is v = 3, then its equation is

    Which of the following options is most relevant? Statement 1: The tangents drawn to a parabola at points (1, 2) and (3, 4) intersect at the point (-2, -3). The slope of the axis of the parabola is (3)/(2). Statement 2: The line joining the points of intersection of tangents and normals at the extremities of the focal chord of a parabola is parallel to the axis of the parabola.

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