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

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

The equation of the circle passing through the point (1,1)

The equation of any circle passing through the points of intersection of the circle S=0 and the line L=0 is

Find the equation of the smallest circle passing through the point of intersection of the line x+y=1 and the circle x^(2)+y^(2)=9 .

Equation of a circle passing through 3points

The equation of the smallest circle passing through the point (1,0) and (0,1) is

The equation of the circle passing through the point (1, 1) and through the points of intersection of the circles : x^2+ y^2=6 and x^2+ y^2-6y+8=0 is :

The equation of the circle passing through the points of intersection of the circle x^(2)+y^(2)-2x+4y-20=0 , the line 4x-3y-10 =0 and the point (3, 1) is

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