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Find the length of the latus rectum of ...

Find the length of the latus rectum of the parabola `2[(x-a)^(2)+(y-a)^(2)]=(x+y)^(2)`

Text Solution

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The correct Answer is:
`2sqrt(2a)`
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Knowledge Check

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

    A
    2
    B
    1
    C
    8
    D
    3

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

    A
    (2,7),(3,-7)
    B
    (0,5),(0,-5)
    C
    (0,7),(0,-5)
    D
    (5,-5/2),(-1,-5/2)

  • The length of the latus rectum of the parabola 3x^(2)-9x+5y-2=0 is

    A
    5
    B
    4
    C
    16
    D
    `5//3`

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    The length of the latusrectum of the parabola 20(x^(2)+y^(2)-6x-2y+10)=(4x-2y-5)^(2) is

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