Find the differential equation of all the circles which pass thorough the origin and whose centres lie on x-axis.

Find the differential equation of all the circles which pass through the origin and whose centres lie on y-axis.

Find the differential equation of the family of all circles which pass through the origin and whose centre lie on y-axis.

Find the equation of a circle which passes through the origin and whose centre is (a, b).

Find the equation of a circle passes through the origin and whose centre is (-2,5).

Find the differential equation of family of all straight lines passing through the origin .

Find the equation of the circle which passes through (6,5) (4,1) and whose centre lies on 4x+y-16=0

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

Find the equation of circle of radius 3, passing through the origin and having its centre on the x-axis.

Find the equation of the circle which passes through the points (2,""""-2) , and (3,4) and whose centre lies on the line x+y=2 .

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