The points of contact of the circle $x^2 + y^2 + 2x + 2y + 1 = 0$ with the coordinate axes are:

Let $S$ be a circle concentric with the circle $3x^2+3y^2+x+y-1=0$. If the length of the tangent drawn from a point $(2,-2)$ to the given circle is the radius of the circle $S$,then the power of the point $(2,1)$ with respect to the circle $S$ is

The equation of the circle with centre at $(1, -2)$ and passing through the centre of the given circle $x^2 + y^2 + 2y - 3 = 0$ is

If $x = 2 + 3 \cos \theta$ and $y = 1 - 3 \sin \theta$ represent a circle,then the centre and radius are:

The four distinct points $(0, 0), (2, 0), (0, -2)$ and $(k, -2)$ are concyclic,if $k =$

The equation of the circle passing through the points $(0, 0)$,$(0, b)$,and $(a, b)$ is