General Equation of Circle When the circle passes through the origin.

General Equation of Circle When the circle touches both the axis.

General Equation of Circle When the circle touch x axis and y axis.

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

The differential equation of all circles which passes through the origin and whose centers lie on Y-axis is

Find the equation of the circle which passes through the origin and belonges to the co-axial of circles whose limiting points are (1,2) and (4,3).

Find the equation of the circle, which passes through the origin and makes intercepts 4 and 2 on the x and y axes respectively.

The differential equation of the family of circles passing through the origin and having centres on the x-axis is

Find the equation of the circle , which passes through the origin and cuts off intercepts a and b from the axes.