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Conic Sections Formulas

The Parabola Formulas The standard formula of a parabola \( y^2 = 2\,p\,x \) Parametric equations of the parabola: \( \begin{aligned} x &=2\,p\,t^2 \\ y &= 2\,p\,t \end{aligned} \) Tangent line in a point \(D(x_0, y_0)\) of a parabola \(y^2 = 2px\) is: \( y_0\,y=p\left(x+x_0\right) \) Tangent line with a given slope m: \( y = m\,x + \frac{p}{2m} \) […]

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