MODULE HYPERBOLA
Applications
- Hyperbolic trajectories
- Reflecting property of hyperbola
Animations
- Hyperbola-definition
- Shape of hyperebola
- Tangent to hyperbola
- Auxhiliary circle
- Control circle
Theory
- Hyperbola-definition
- Hyperbola in the Euclidean plane
- Superposition of line and hyperbola
- Tangent to the hyperbola
- Line intersecting hyperbola
- Hyperbola in the Cartesian plane
- Superposition of hyperbola and line - calculations
- Hyperbola in the Affine plane
Examples
- Example1-Coordinates of vertices and foci
- Example2-Equation of hyperbola
- Example3-Coordinates of vertices and foci, graph of hyperbola
- Example4-Coordinates of intersection point of line and hyperbola
- Example5-Equation of tangent in hyperbola point
- Example6-Equation of tangent in given point
- Example7-Equation of tangent through given point
- Example8-Equation of tangent in given direction
Problems
- Problem1-Coordinates of hyperbola vertices and foci, equation of asymptotes
- Problem2-Equation of hyperbola
- Problem3-Applied problems
- Problem4-Equation of tangent to hyperbola
Assessments
- Assessment
- Answers