A circle passes through origin and touches the line y=x+2 with one of its diameters being y=x+1 ,then the centre of the circle

A circle passes through A(2,1) and touches y -axis then the locus of its centre is

A circle passes through A(2,1) and touches y -axis then the locus of its centre is

If the radisu of the circle passing through the origin and touching the line x+y=2 at (1, 1) is r units, then the value of 3sqrt2r is

A circle has its centre on the y-axis and passes through the origin, touches anotgher circle with centre (2,2) and radius 2, then the radius of the circle is

A circle of radius sqrt8 is passing through origin the point (4,0) . If the centre lies on the line y = x , then the equation of the circle is

A circle touches the lines x-y- 1 =0 and x -y +1 =0. the centre of the circle lies on the line

Centre of a circle passing through point (0,1) and touching the curve y=x^2 at (2,4) is

A circle passes through a point (2,8) and touches the lines 4x-3y-24=0 and 4x+3y+42=0 and centre lies on the line x=lambda then (-4 lambda) is