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## Parabola Cheat Sheet

Concepts Covered

- Standard Equation
- Equations with axes parallel to the coordinate axes
- Equations with known focus and directrix
- Parametric Equation
- Position of a point with respect to a Parabola
- Equation of Tangents: Slope Form, Point Form and Parametric Form
- Point of Intersection of Tangents
- Pair of Tangents from an external point
- Equation of a Normal: Slope Form, Point Form and Parametric Form
- Point of Intersection of Normals
- Three Normals from a Point
- Equation of a Chord with known end points
- Equations of a Chord with known mid point
- Equation of Chord of Contact
- Some relations related to parametric equations
- Some properties of the Parabola