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Find the differential equation of the fa...

Find the differential equation of the family of (i) all non- vertical lines in a plane

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Knowledge Check

  • The differential equation of the family of all non-vertical lines in a plane is

    A
    `(d^(2)y)/(dx^(2))=0`
    B
    `(dy)/(dx)=0`
    C
    `(dx)/(dy)=0`
    D
    `(d^(2)x)/(dy^(2))=0`

  • The differential equation of the family of all non-horizontal lines in a plane is

    A
    `(d^(2)y)/(dx^(2))=0`
    B
    `(d^(2)x)/(dy^(2))=0`
    C
    `(dy)/(dx)=0`
    D
    `(dx)/(dy)=0`

  • The differential equation of the family of lines y = mx is :

    A
    `(dy)/(dx) = 0 `
    B
    `(d^(2)y)/(dx^(2))=0`
    C
    `ydx+xdy=0`
    D
    `ydx-xdy=0`

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    Find the differential equation of the family of all the parabolas with latus rectum 4a and whose axes are parallel to the x -axis.

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