# Coordinate geometry for class 10

Coordinate geometry is that part of mathematics which provides a connection between algebra and geometry through graphs of lines and curves. There are certain formulas related to coordinate geometry. These formulas are used to find the distance between the two points whose coordinates are given and the area of the triangle formed by three given points. You can also use these formulas to find the coordinates of the point which divides a line segment joining two given points in a given ratio. Learning these formulas and applying them can help students attain a better score in mathematics.

We believe that having access to the list of formulas for coordinate geometry for class 10 on a single page can be really beneficial for students. Therefore, we have compiled this list and presented it to you through this website. Check this out and download the formulas for further reference. Also, make sure to navigate to the other formulas.

**1. Distance formula**

Distance between the points AB is given by D= √(x1-x2)²+(y2-y1)²

Distance of Point A from origin D = √x²+y²

**2. Section formula**

A point P(x,y) which divides the line segment AB in the ratio m1 and m2 is given by x=m1x2+m2x1⁄m1+m2 y=m1y2+m2y1⁄m1+m2

The midpoint P is given by (x1+x2/2), (y1+y2/2)

**3. Area of triangle**

Area of triangle ABC of coordinates A(x1,y1), B(x2,y2) and C(x3,y3)

A=½[x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]

For points A, B and C to be collinear, the value of A should be zero.

**Other formulas**