equation of the circle which touches the coordinate axes and passes through the point (2,1) is ______

Suppose the centre is (h,k)

So the equation of circlle is (x-h)^2 + (y-k)^2 = r^2

Now this circle touches coordinate axis
so h=k=r
(x-r)^2 + (y-r)^2 = r^2

Also this cirlce passes thru (2,1 ) so that will satisfy

Put the point and find r
that gives you eqn of circle

Thanks