# NCERT Class 10 Mathematics Formula CBSE Board Sample Problems Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Coordinate Geometry

S. no. | Points |

1 | We require two perpendicular axes to locate a point in the plane. One of them is horizontal and other is Vertical |

2 | The plane is called Cartesian plane and axis are called the coordinates axis |

3 | The horizontal axis is called x-axis and Vertical axis is called Y-axis |

4 | The point of intersection of axis is called origin. |

5 | The distance of a point from y axis is called x — coordinate or abscissa and the distance of the point from x — axis is called y — coordinate or Ordinate |

6 | The distance of a point from y axis is called x — coordinate or abscissa and the distance of the point from x — axis is called y — coordinate or Ordinate |

7 | The Origin has zero distance from both x-axis and y-axis so that its abscissa and ordinate both are zero. So the coordinate of the origin is (0,0) |

8 | A point on the x — axis has zero distance from x-axis so coordinate of any point on the x-axis will be (x, 0) |

9 | A point on the y — axis has zero distance from y-axis so coordinate of any point on the y-axis will be (0, y) |

10 | The axes divide the Cartesian plane in to four parts. These Four parts are called the quadrants |

The coordinates of the points in the four quadrants will have sign according to the below table

Quadrant | x-coordinate | y-coordinate |

1^{st} Quadrant | + | + |

2^{nd} Quadrant | - | + |

3^{rd} Quadrant | - | - |

4^{th} Quadrant | + | - |

S. no | Terms | Descriptions |

1 | Distance formula | Distance between the points AB is given by Distance of Point A from Origin |

2 | Section Formula | A point P (x, y) which divide the line segment AB in the ratio and is given by The midpoint P is given by |