How should I prove that the product of two line equations, which is not equal to 0, is hyperbola?
I guess I can use $s,Δ,δ$ invariants, but are there no other elegant and easier to count options?
And if no, is the invariants method the correct one?
2026-05-05 18:04:08.1778004248
Prove that the product of two lines equations is hyperbola
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Let L1=0 and L2=0 be two nonparallel lines then L1 L2=c means (L1+L2)^2 -(L1-L2)^2=4c, which is the most general equation of a hyperbola.