MODULE PARABOLA
Applications
- Reflecting property of parabola
- Osculating circle of parabola
Animations
- Parabola-definition
- Shape of parabola
- Tangent to parabola
- Tangent to parabola in vertex
- Directrix of parabola
- Tangent properties of parabola
Theory
- Parabola-definition
- Parabola in the Euclidean plane
- Superposition of line and parabola
- Tangent to the parabola
- Parabola in the Cartesian plane
- Superposition of parabola and line
- Superposition of line and parabola - calculations
Examples
- Example1-Coordinates of vertex and focus
- Example2-Equation of parabola
- Example3-Coordinates of vertex and focus, equation of directrix, graph of parabola
- Example4-Coordinates of intersection points of line and parabola
- Example5-Equation of tangent in given point
- Example6-Equation of tangent through given point
- Example7-Equation of tangent in given direction
Problems
- Problem1-Coordinates of parabola vertex and focus, equation of directrix
- Problem2-Equation of parabola
- Problem3-Applied problems
- Problem4-Equation of tangent to parabola
Assessments
- Assessment
- Answers