Property 3: The equation of the family of circles touching the circles and line at their point of contact is

Differential equation of the family of circles touching the line y=2 at (0,2) is

Property 2: The equation of the family of circles passing through the point of intersection of line and circle

Property 1: The equation of the family of circles passing through the point of intersection of two given circles.

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

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

Find the equation of the family of circles touching the lines x^(2)-y^(2)+2y-1=0

The equations of the circles which touch both the axes and the line x = a are

The equation of the circle touching the lines |y| = x and having radius sqrt(2) is :

Let a and be respectively the degree and order of the differentill equation of the family of circles touching the lines y^(2)-x^(2)=0 and lying in the first and second quadrant then

Chord of contact | Family of circles