Find the differential equation of all circles passing through the origin and having their centres on the x - axis.

The differential equation of the family of lines passing through the origin is -

Find the differential equation of all circles touching the x-axis at the origin .

Find the differential equation of all straight lines passing through the point (0,3).

Find the differential equation of all circles which touch the x-axis at the origin.

Form the differential equation of all concentric circles at the origin.

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

Find the differential equation of the circles which touch the x-axis at the origin.

Find the equation of a circle which passes through the origin and makes intercepts of 2 units and 4 units on x-axis and y-axis respectively.

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x+y=16 .