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NCERT Class 10 Mathematics Formula CBSE Board Sample Problems Part 3
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 β coordinate or abscissa and the distance of the point from x β axis is called y β coordinate or Ordinate |
6 | The distance of a point from y axis is called x β coordinate or abscissa and the distance of the point from x β axis is called y β 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 β 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 β 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 |