I think the answer should be sum of inradius of the two circles, which I am getting as 14. However, it is not in the options. WHY?
2026-04-03 12:10:26.1775218226
What is the distance between A and B
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Hint: Do not assume the circles touch. Let the radius of circle $A$ be $a$ and that of $B$ be $b$. Then the horizontal distance between their centres is $b+a$ and the vertical distance $b-a$. The distance between the centres is $$\sqrt{(b+a)^2+(b-a)^2}=\sqrt{2(a^2+b^2)}$$ which is not $a+b$.