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Analytic Geometry2D

Tangents and Normals to Conic Sections - Theory & Concepts - Analytic Geometry Conic Tangent Normal

Equations of tangent and normal lines to circles, parabolas, ellipses, and hyperbolas.

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Point Position Parameter45
Tangent / Normal Slopes
Point P(x₁, y₁):(2.47, 1.41)
Tangent Slope:-0.571
Normal Slope:1.750
Tangent and Normal line curves for ellipseGrid lineGrid backgroundHorizontal AxisVertical AxisConic curve branchNormal line (perpendicular to tangent)Tangent line (touching curve at point P)Point P of tangency at (2.47, 1.41)
x212.3+y24.0=1\frac{x^2}{12.3} + \frac{y^2}{4.0} = 1

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