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Form the differential equation of all ci...

Form the differential equation of all circle touching the x-axis at the origin and centre on the y-axis.

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Knowledge Check

  • The differential equation of all circles touching the axis of y at origin and centre on the x-axis is given by

    A
    ` xy dy/dx - x^2 + y^2 = 0`
    B
    `2xy dy/dx - x^2 - y^2 = 0`
    C
    `( x^2 + y^2) dy /dx - 2xy = 0`
    D
    None of the above

  • The differential equation of all circles touching the axis of y at origin and centre on the x-axis is given by

    A
    ` xy dy/dx - x^2 + y^2 = 0`
    B
    `2xy dy/dx - x^2 - y^2 = 0`
    C
    `( x^2 + y^2) dy /dx - 2xy = 0`
    D
    None of the above

  • The differential equation of system of circles touching the Y-axis at origin is

    A
    `(dy)/(dx) =(x^2+y^2)/(2xy)`
    B
    `(dy)/(dx) =(y^2-x^2)/(xy)`
    C
    `(dy)/(dx) =(y^2-x^2)/(2xy)`
    D
    `(dy)/(dx) =(x^2-y^2)/(2xy)`

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    The order of the differential equation of the family of circles touching the y - axis at the origin is k, then the maximum value of y=k cos x AA x in R is

    The differential equation of the system of circles touching the y-axis at the origin is

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