A circle of radius $n$ units touches both the axes. Then equations of all possible circles formed in

Question

A circle of radius $n$ units touches both the axes. Then equations of all possible circles formed in the general form

Professor PC Thomas Classes · Answer

Centers are at $(\pm n, \pm n)$ with radius $n$. Equation: $(x \mp n)^2 + (y \mp n)^2 = n^2 \Rightarrow x^2 + y^2 \pm 2nx \pm 2ny + n^2 = 0$.