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

If r_(1) and r_(2) be the maximum and minimum radius of the circle which pass through the point (4, 3) and touch the circle x^(2)+y^(2)=49 , then (r_(1))/(r_(2)) is …….

Find the equation of the circle which passes through the point (1, 1) & which touches the circle x^(2) + y^(2) + 4x – 6y – 3 = 0 at the point (2, 3) on it.

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

Equation of circles which pass through the point (1,-2) and (3,-4) and touch the x- axis is

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

Find the equation of a circle which passes through the point (3, 2) and concentric with the circle x^(2)+y^(2)-4x +2y - 1=0 .

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2