Mathematics Parabola, Ellipse and Hyperbola Tangents and Normals to Conics

The equation of the tangent at the point P(t), where t is any parameter, to the parabola y2 = 4ax is:

1
y = xt + at2
2
yt = x + at2
3
y = tx
4
y = tx + \(\rm \frac{a}{t}\)

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