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.

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

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

Find the equation of the circle which touches the lines x=0, y=0 and x=4 and lies in the first quadrant.

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y

Find the equation of a circle with center (4, 3) touching the line x+y=1

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.

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

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2