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The equation of the latus rectum of a pa...

The equation of the latus rectum of a parabola is `x+y=8` and the equation of the tangent at the vertex is `x+y=12.` Then find the length of the latus rectum.

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11.312
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Knowledge Check

  • The equation of the latus rectum of y^(2)=4x is….......

    A
    `x=1`
    B
    `y=1`
    C
    `x=4`
    D
    `y=-1`

  • The latus rectum of the parabola y^2 = 11x is of length

    A
    11
    B
    `11/4`
    C
    `22`
    D
    `44`

  • The latus rectum of the parabola y^(2)-4x+4y+8=0 is:

    A
    12
    B
    2
    C
    4
    D
    8

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    Find the equation of the tangent at t =2 to the parabola y^(2) = 8x .

    y^2+2y-x+5=0 represents a parabola. Find its vertex, equation of axis, equation of latus rectum, coordinates of the focus, equation of the directrix, extremities of the latus rectum, and the length of the latus rectum.

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