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

Find the locus of the centre of the circle touching the line x+2y=0 andx =2y

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 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 equation of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 and whose centre lies on the line 2x+y=0 .

Find the equation of the circle having radius 5 and touching the line 3x-4y+5=0 at the point (1,2).

Circumference of the circle touching the lines 3x+4y-3=0,6x+8y-1=0