Plus One Maths Notes Chapter 11 Conic Sections is part of Plus One Maths Notes. Here we have given Kerala Plus One Maths Notes Chapter 11 Conic Sections .

Board | SCERT, Kerala |

Text Book | NCERT Based |

Class | Plus One |

Subject | Maths Notes |

Chapter | Chapter 11 |

Chapter Name | Conic Sectionss |

Category | Plus One Kerala |

## Kerala Plus One Maths Notes Chapter 11 Conic Sections

**Circle**

- Equation of a circle with centre (0, 0) and radius r is x
^{2}+ y^{2}= r^{2}. - Equation of a circle with centre (h, k) and radius r is (x – h)
^{2}+ (y – k)^{2}= r^{2}. - General form of the equation of a circle is

x^{2}+ y^{2}+ 2gx + 2fy + c = 0 with centre (-g, -f) and radius

**Conic**

- Conic is the set of all points in a plane which moves so that the distance from a fixed point is in a constant ratio to its distance from a fixed straight line. The fixed point is called the focus. The fixed straight line is called the directrix and the constant ratio is the eccentricity denoted by e.
- for parabola, e = 1
- for ellipse, e < 1
- for hyperbola, e > 1

**Parabola Ellipse **

- Focii, S and S’ = (± ae, 0)
- Centre, 0 is (0,0)
- Vertices A and A’ are (± a, 0)
- Eqn. of directrices DD’, D
_{1}D_{1 } - Length of major axis AA’ = 2a
- Length of minor axis BB’= 2b

4. Focii (0, ± be) 5.Centre (0,0)

5. Vertices A and A’ are (0, ± b)

6. Eqn. of directrices DD’,D_{1}D_{1 }

7. Length of major axis AA’ = 2b

8. Length of minor axis BB’= 2a

**Hyperbola **

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