## 1 | ## Introduction | A brief introduction to the topic Circle in coordinate geometry |

## 2 | ## Definition and Standard Equation | Definition of a circle. Derivation of the standard equation of a circle. |

## 3 | ## Equation: Part 1 | Equation of a circle with known center and radius. General equation of a circle. |

## 4 | ## Equation: Examples | A few examples focused on equations of a circle in the Cartesian plane |

## 5 | ## Equations: More Examples | A few examples focused on equations of a circle in the Cartesian plane |

## 6 | ## Equation: Part 2 | Equation of a circle with known end points of diameter. Another definition of a circle. |

## 7 | ## Equation: Even More Examples | A few examples focused on equations of a circle in the Cartesian plane |

## 8 | ## Parametric Equation | Derivation of the parametric equation of the circle |

## 9 | ## Position of a Point | Conditions for a point to be inside, on, or outside a given circle |

## 10 | ## Position of a Point: Examples | A few examples to illustrate the concept of position of a point relative to a circle. |

## 11 | ## Intersection with a Line: Part 1 | Position of a line with respect to a circle. |

## 12 | ## Intersection with a Line: Examples | A few examples to illustrate the position of a line with respect to a circle. |

## 13 | ## Intersection with a Line: Part 2 | Length of a Chord intercepted by a line |

## 14 | ## Intersection with a Line: Examples | A few examples to illustrating the calculation of length of a chord of a circle |

## 15 | ## Tangent – Slope Form: Part 1 | Condition for a line to become a tangent to a circle |

## 16 | ## Tangent – Slope Form: Part 2 | Equation of the tangent to a circle in slope form, and coordinates of the point of contact |

## 17 | ## Tangent – Slope Form: Examples | Solved examples to illustrate slope form of tangents to a circle. |

## 18 | ## Tangent – Point Form | Equation of a tangent to a circle at a given point, or equation of a tangent in ‘point form’ |

## 19 | ## Tangent – Point Form: Examples | A few solved examples relating to equation of a tangent to a circle |

## 20 | ## Tangent from an External Point: Part 1 | Equation of the tangent to a circle from an external point. |

## 21 | ## Tangent from an External Point: Part 2 | Angle between tangents to a circle from an external point. |

## 22 | ## Tangent from an External Point: Part 3 | Length of a tangent to a circle from an external point. |

## 23 | ## Tangent from an External Point: Examples | A few solved examples relating to tangents to a circle from an external point |

## 24 | ## Normal | Definition of Normal to a Circle. |

## 25 | ## Normal: Equations | Equations of normal in various forms, to a circle. |

## 26 | ## Normal: Examples | A few examples related to equations of normal to a circle. |

## 27 | ## Normal – Shortest Distance: Part 1 | Shortest distance between a line and a point, and between a point and a circle. |

## 28 | ## Normal – Shortest Distance: Part 2 | Shortest distance between a line and a circle, and between two circles. |

## 29 | ## Normal – Shortest Distance: Examples | A few examples illustrating the shortest distance between a circle and a point, a line or another circle. |

## 30 | ## Two Circles – Relative Position | Relative position of two circles, based on their radii and coordinates of centres. |

## 31 | ## Two Circles – Relative Position: Examples | A few examples illustrating relative position of two circles in the Cartesian plane. |

## 32 | ## Two Circles – Number of Common Tangents | Number of common tangents to two circles, based on their relative position |

## 33 | ## Two Circles – Equations of Common Tangents | Equations of common tangents to two circles |

## 34 | ## Two Circles – Equations of Common Tangents: Examples | Examples illustrating finding the equations of common tangents to two circles |

## Cheat Sheet | 2704 downloads |