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

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Coordinate Geometry

Coordinate Geometry
S. no.Points
1We require two perpendicular axes to locate a point in the plane. One of them is horizontal and other is Vertical
2The plane is called Cartesian plane and axis are called the coordinates axis
3The horizontal axis is called x-axis and Vertical axis is called Y-axis
4The point of intersection of axis is called origin.
5The 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
6The 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
7The 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)
8A point on the x — axis has zero distance from x-axis so coordinate of any point on the x-axis will be (x, 0)
9A point on the y — axis has zero distance from y-axis so coordinate of any point on the y-axis will be (0, y)
10The 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

The Coordinates of the Points in the Four Quadrants Will Have Sign According to the below Table
Quadrantx-coordinatey-coordinate
1st Quadrant++
2nd Quadrant-+
3rd Quadrant--
4th Quadrant+-
The Coordinates of the Points in the Four Quadrants Will Have Sign According to the below Table
S. noTermsDescriptions
1Distance formulaDistance between the points AB is given by

Distance of Point A from Origin

2Section FormulaA point P (x, y) which divide the line segment AB in the ratio and is given by

The midpoint P is given by

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