# NCERT Class 10 Mathematics Formula CBSE Board Sample Problems Part 3

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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 â€”coordinate or abscissa and the distance of the point from x â€”axis is called y â€” coordinate or Ordinate |

6 | The distance of a point from y axis is called x â€”coordinate or abscissa and the distance of the point from x â€”axis is called y â€” 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 â€”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 â€”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 |

1st Quadrant | + | + |

2nd Quadrant | - | + |

3rd Quadrant | - | - |

4th 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 |