Find radii of both circles.
Center for circle 1 is $(a_1,b_1)$. Tangent at $y$ axis at $(0,k)$. Radius of circle 1 is $r_1^2 = a_1^2 + (b_1-k)^2$.
Center for circle 2 is $(a_2,b_2)$. Tangent at $y$ axis at $(0,h)$. Radius of circle 2 is $r_2^2 = a_2^2 + (b_2-h)^2$
Mid point of $(1,3)$ and $(2,4)$ is $(1.5,3.5)$ Line goes through mid point $y_1=x+2$ Line perpendicular through y1 and goes through both centers is $ y_2=-x+5$
From substitute $(1,3)$ and $(2,4)$ to equation of circle 1 I get $a_1+b_1 =2$. And from $ y_2$, i get $a_1+b_1 = 5$
Despite all information i can find, i still get stuck to find the radii. and find the $a_1,b_1$ or $a_2,b_2$ to at least get radii.
How to get radii using the line $y_2$, or circle equation 1 or other way? What am i missing? Please your clarification