Orthogonal circles (2g₁g₂+2f₁f₂=c₁+c₂)

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If circle S=0 and line L=0 meet at two points, S+λL=0 (λ≠∞) is family of circles through those intersection points.

What each symbol means

SymbolWhat it stands for
LLine
SCircle
λReal parameter

When to use this

Fixed intersection points (two distinct or tangent limit).