Focal chord property (parametric parabola) (For y²=4ax, endpoints (at₁²,2at₁) and (at₂²,2at₂) on a focal chord ⇒)

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For y²=4ax, endpoints (at₁²,2at₁) and (at₂²,2at₂) on a focal chord ⇒ t₁t₂=−1

What each symbol means

SymbolWhat it stands for
t_1,t_2Parameters of endpoints

When to use this

Standard parabola; focal chord through focus (a,0).