If a circle `C` passing through the point `(4,0)` touches the circle `x^(2)+y^(2)+4x-6y=12` externally at the point `(1,-1)` ,then the radius of `C` is:

lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-6y-12 = 0 externally at a point (1, -1), then the radius of the circle C is :-

The equation of the cirele which passes through the point (1, 1) and touches the circle x^2+y^2+4x-6y-3=0 at the point (2, 3) on it is

The centre of the circle passing through the points (0,0), (1,0) and touching the circle x^2+y^2=9 is

Find the circle of minimum radius which passes through the point (4, 3) and touches the circle x^2+y^2=4 externally.

The polar of the point (2t,t-4) w.r.t. the circle x^(2)+y^(2)-4x-6y+1=0 passes through the point

The radius of a circle is 5 units and it touches the circle x^(2) + y^(2) - 2 x - 4 y - 2 0 = 0 externally at the point (5,5). Find the equation of the circle.

a circle passing through the point (2,2(sqrt2-1)) touches the pair of lines x^2 -y^2 -4x+4 =0 . The centre of the circle is

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point:

The point diametrically opposite to the point (6, 0) on the circle x^(2) +y^(2)-4x+6y-12=0 is :

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