A circle with its centre on the line y=x+1 is drawn to pass through the origin and touch the line y=x+2 .The centre of the circle is

Equation of the circle with centre on the y-axis and passing through the origin and (2,3) 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

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

A variable circle C touches the line y = 0 and passes through the point (0,1). Let the locus of the centre of C is the curve P. The area enclosed by the curve P and the line x + y = 2 is

A circle is drawn with its centre on the line x+y=2 to touch the line 4x-3y+4=0 and pass throughthe point (0,1). Find its equation.

A circle passes through (0,0) and (1,0) and touches the circle x^(2)+y^(2)=9 then the centre of circle is -