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Form the differential equation of the family of circles touching the y-axis at origin.

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Knowledge Check

  • The differential equation of the family of parabolas having their vertices at the origin and foci on x-axis is

    A
    y = 2x dy/dx
    B
    x = 2y dy/dx
    C
    xy = dy/dx
    D
    none of these
  • The differential equation of the family of parabolas having their vertex at the origin and focus on y-axis is

    A
    x dy/dx = 2y
    B
    y dy/dx =x
    C
    xy dy/dx = c
    D
    2x dy/dx = y
  • The differential equation of the family of concentric circles with centre at the origin is

    A
    x + y dy/dx = 0
    B
    x =y dy/dx
    C
    dy/dx = y/x
    D
    none of these
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    Form the differential equation of the family of circles in the second quadrant and touching the coordinate axes.

    Form the differential equation of the family of parabolas having vertex at origin and axis along positive y - axis.

    Form the differential equation of circles touching the x-axis at origin:

    Form the differential equation of the family of ellipse having foci on y - axis and centre at origin.