Lecture in Conic Sections: Ellipse

This is the lecture in Conic Sections: Ellipseas one topic in Analytic Geometry subject in taking up Engineering Courses.

Graph the ellipse with vertex at the origin.
Graph the ellipse with vertex at (h, k)
Solve problems regarding ellipse, finding the vertices, eccentricity and length of the latus rectum.
Find the equation of the ellipse with vertex at the origin.
Find the equation of the ellipse with vertex at (h, k)
Know the some real life applications of ellipse.

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

Lectures in Analytic Geometry

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