Coordinate Geometry

NCERT Revision Notes for Chapter 7 Coordinate Geometry Class 10 Maths

CBSE NCERT Revision Notes

1

Revision

Answer

On a Cartesian Plane also known as XY plane, there are two Axises.  The vertical Axis is known as Y Axis given as YOY’. The Horizontal Axis is known as XOX’. Here O is the Origin. OY is positive Y axis and OY’ is negative Y axis. OX is positive X axis and OX’ is negative X-axis.  It is the intersection point of both X and Y axis. It represents 0 on both axis.

2

Distance Formula

Answer

The distance between the points P (x, y) and Q (x, y) on a Cartesian Plane is given by 

 

Example: Distance between two points P (-5, 3) and Q(-1, 6) is given as

 

3

Section Formula

Answer

A point P(x, y) divides line segment AB, where coordinate of point A is A(x, y1) and Coordinate of point B(x, y2) in ratio m:n, then point P(x, y) is 

Example 

In what ratio does the point (2,- 5) divide the line segment joining the points A(-3, 5)  and B(4, -9). 

Solution: Let the ratio be  λ : 1

 

The required ratio is 5:2. 

Note:- You can check for Y-coordinate also. Result will be same. 

4

Mid -Point Formula

Answer

The mid-point of the line joining A(x, y) and B(x, y) is given as 

5

Centroid of the Triangle

Answer

The Centroid of the triangle is the point of intersection of medians of the triangle.  For a triangle A(x, y1), B(x, y2) and C(x, y3) we can say that the co-ordinates of centroid is given as 

6

Areas of Triangle

Answer

7

Condition for Collinearity of three Points

Answer