Analytic Geometry Lecture 9

Lesson Objectives - the students should be able to:

• Determine the different forms of the equations of circles
• Standard form of the equation of the circle
• Equation of circles with center at origin
• General form of the equation of a circle

LESSON OUTLINE:

• How to find the standard form of the equation of the circle given the center and radius
• How to find the standard form of the equation of the circle with center at the origin
• How to reduce from general form to standard form of the equation of a circle
• Seatwork
• Homework

Analytic Geometry Lecture 9

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

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