$A$ circle touches the axes at the points $(3, 0)$ and $(0, -3)$. The centre of the circle is

$A$ circle passes through the centre of another circle $x^2+y^2-3x-4y-1=0$ and its centre is $(5,2)$. Then the equation of this circle is.........

The equation of the circle touching the lines $|x-2|+|y-3|=4$ is

$A$ circle passes through the points $(2,0)$ and $(1,2)$. If the power of the point $(0,2)$ with respect to this circle is $4$,then the radius of the circle is

The equation of a circle of radius $5$ units touching another circle $x^2+y^2-2x-4y-20=0$ at $(5,5)$ is

Find the equation of a circle whose diameters are $2x - 3y = 5$ and $3x - 4y = 7$ and whose radius is $8$.