Math 12
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6.1 Introduction
6.1 Introduction
6.1.1 Equation of a Circle
6.1.1 General Form of an Equation of a Circle
6.1.2 Equations of Circles Determined by Given Conditions
Exercise 6.1
6.2 Tangents and Normals
6.2 Tangents and Normals
6.2.1 Length of the tangent to a circle (Tangential Distance)
Exercise 6.2
6.3 Analytic proof of important properties of a Circle
Exercise 6.3
6.4 Parabola
6.4 Parabola
6.4.1 General Form of an Equation of a Parabola
6.4.2 Other Standard parabolas
6.4.3 Graph of the Parabola
Exercise 6.4
6.5 Ellipse and its Elements
6.5 Ellipse and its Elements
6.5.1 Standard Form of an Ellipse
6.5.2 Graph of an Ellipse
Exercise 6.5
6.6 Hyperbola and its Elements
6.6 Hyperbola and its Elements
6.6.1 Standard Equation of Hyperbola
6.6.2 Graph of the hyperbola
Exercise 6.6
6.7 Tangents and Normals
Intersection of Two Coincs
Exercise 6.7
6.8 Translation and Rotation of Axes
Exercise 6.8
6.9 The General Equation of Second Degree
6.9 The General Equation of Second Degree
6.9.1 Classification of Conics by the Discriminant
Exercise 6.9
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