Distance Between Centre and a Line
For centre $$(h,k)$$ and line:
$$ Ax+By+C=0 $$
the perpendicular distance is:
$$ d=\frac{|Ah+Bk+C|}{\sqrt{A^2+B^2}} $$
Usage
- Used to determine the distance of a circle's centre from a given line, especially in tangency problems.