Find the equations of the circles touching the lines `y=0 and y=sqrt(3) (x+1)` and having the centres at a distance 1 from the origin.

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

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

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

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

Equation of the circle passing through the origin and having its centre on the line y = 3x at a distance sqrt10 from the origin is

Find the equation of the circles which touch 2x-3y+1=0 at (1,1) and having radius sqrt(13) .

Find the equation of the circles which touch 2x-3y+1=0 at (1,1) and having radius sqrt(13) .

Find the equation of a circle which touches the coordinate axes and the line x+y=1 and has its centre situated remote from the origin with respect to the given line.

Find the equation of a circle which touches the coordinate axes and the line x+y=1 and has its centre situated remote from the origin with respect to the given line.

The equation of a circle which touches the line y = x at (1 , 1) and having y = x -3 as a normal, is