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The coordinates of the vertex and focu...

The coordinates of the vertex and focus of a parabola are (1,2) and (-1,2) respectively : find its equation.

Text Solution

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The correct Answer is:
`(y - 2)^(2) + 8 ( x- 1) = 0 `
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If the focus and vertex of a parabola are the points (0, 2) and (0, 4), respectively, then find the equation

If the focus and vertex of a parabola are the points (0, 2) and (0, 4), respectively, then find the equation

Knowledge Check

  • If the coordinates of vertex and focus of a parabola be (2,1) & (2,3) respectively, then the axis of the parabola will be

    A
    a) Y-axis
    B
    b)X-axis
    C
    c)Parallel to the Y-axis
    D
    d)Parallel to the X-axis

  • The coordinates of the focus of the parabola 2x^(2) =- 5y are _

    A
    `(-(5)/(8),0)`
    B
    `(-(5)/(2),0)`
    C
    `(0,-(5)/(2))`
    D
    `(0,-(5)/(8))`

  • The coordinates of the vertex of the parabola (x + 1)^(2) =- 9(y +2) are

    A
    (1 , 2)
    B
    `(-1, 2)`
    C
    `(1, -2)`
    D
    `(-1,-2)`

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    Find the equation- of the porabola whose co-ordinates of the vertex and focus are (-2, 3) and (1,3) respectively.

    The coordinates of the two ends of latus rectum of a parabola are (8,1) and (-4,1) , find the equation of the parabola.

    The eccentricity of an ellipse is (2)/(3) and the coordinates of its focus and the corresponding vertex are (1,2) and (2,2) respectively. Find the equation of the ellipse . Also find the coordinate of the point of intersection of its major axis and the directrix in the same direction .

    Find the eqution of the parabola whose coordinates of vertex and focus are (0 , 0) and ((3)/(2),0) respectively .

    The coordinates of focus of the parabola y^(2) =- 5x are _

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