Chapter 3 Geometry 10

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Math 10 Chapter 3 Lesson 1: Line equations

Math 10 Chapter 3 Lesson 1: Line equations 1. Summary of theory 1.1. Parametric equation of the line – The vector (overrightarrow u ) is called the direction vector (VTCP) of the line (Delta) if (overrightarrow u ne overrightarrow 0 ) and the price is parallel or coincident with the line (Delta) – In the …

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Math 10 Chapter 3 Lesson 2: Equation of a circle

Math 10 Chapter 3 Lesson 2: Equation of a circle 1.Theory summary 1.1. Equation of a circle with given center and radius In the plane Oxy give a circle (C) center I(a;b) radius R. We have (Mleft( {x;y} right) subset left( C right) Leftrightarrow IM = R) (begin{array}{l} Leftrightarrow sqrt {{{left( {x – a} right)}^2} …

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Math 10 chapter 3 Lesson 3: Equation of the ellipse

Math 10 chapter 3 Lesson 3: Equation of the ellipse 1. Summary of theory 1.1. Definition of an ellipse Given two fixed points Ffirst, F2 and a constant length 2a greater than FfirstF2. The ellipse is the set of points M in the plane such that FfirstM+F2M=2a Points Ffirst and F2 are called the focal …

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Math 10 Review Chapter 3: Coordinate method in the plane

Math 10 Review Chapter 3: Coordinate method in the plane 1. Summary of theory 1.1. Parametric equation of the line In the Oxy plane, for the line (Delta) passes through M0(x0;y0) and has VTCP (overrightarrow u = left( {{u_1};{u_2}} right)). Parametric equation of (Delta): (left{ begin{array}{l}x = {x_0} + t{u_1}\y = {y_0} + ship_2}end{array} right.) …

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