A circle is drawn whose centre is on the x - axis and it touches the y - axis. If no part of the circle lies outside the parabola `y^(2)=8x`, then the maximum possible radius of the circle is

A circle is drawn to cut a chord of length 2a unit along x-axis and to touch the y-axis. Then the locus of the centre of the circle is-

Find the equation of circle whose centre is at (a,0) and touching y - axis.

A circle touches y-axis at (0, 5) and whose centre lies on the line 2x + y = 13, find the equation of the circle.

A circle centre (1,2) touches y-axis. Radius of the circle is

A circle with centre (h,k) .If the circle touches x -axis then the radius of the circle is

A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diameter touches the axis of the parabola. Then the slope of the chord is

A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diameter touches the axis of the parabola. Then the slope of the chord 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 is drawn to pass through the extremities of the latus rectum of the parabola y^(2)=8x. It is given that this circle also touches the divectrix of the parabola.Find the radius of this circle.