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Locus of Centres of Circles Touching a Given Line
For a fixed line:
$$Ax+By+C=0$$
and fixed radius $$r$$, the centre $$(h,k)$$ satisfies:
$$|Ah+Bk+C|=r\sqrt{A^2+B^2}$$
Usage
- Used to find the locus of centres of circles with fixed radius tangent to a given line.
