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Find the latus rectum of the parabola (y...

Find the latus rectum of the parabola `(y-3)^2=6(x-2)`

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Knowledge Check

  • The length of latus rectum of the parabola (y-1)^(2) =- 6( x+2) is_

    A
    2 units
    B
    3 units
    C
    5 units
    D
    6 units

  • The coordinates of one of the end-points of the latus rectum of the parabola (y - 1)^(2) = 2(x + 2 ) are _

    A
    `(-2,1)`
    B
    `((-3)/(2),1)`
    C
    `((-3)/(2),3)`
    D
    `((-3)/(2),0)`

  • The length of latus rectum of the parabola 3x^(2) =- 8y is _

    A
    `(4)/(3)` unit
    B
    `(8)/(3)` unit
    C
    `(2)/(3)` unit
    D
    4 unit

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    Explore conceptually related problems

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

    Find the length of the latus rectum of the parabola y =- 2x^(2) + 12 x - 17 .

    If the length of the latus rectum rectum of the parabola 169{(x-1)^(2)+(y-3)^(2)}=(5x-12y+17)^(2) is L then the value of 13L/4 is _________.

    A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=8xdot It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

    Find the length of the latus rectum of the parabola whose focus is at (2, 3) and directrix is the line x-4y+3=0 .

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