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# NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate geometry is also called analytical or Cartesian geometry. It is a branch in mathematics where we can study geometry using coordinate points. This is mainly useful in locating a given point with the ordered pair of numbers. It helps us find the distance between two points using coordinates. The NCERT Maths Chapter 7 coordinate geometry deals with three major sections such as

1) Introduction to the cartesian system and distance formula
2) Section formula
3) Area of triangle

Introduction to the Cartesian System and Distance Formula

Apart from what we have seen above, coordinate geometry is also very useful in the study of graphs. These are the visual representation of our data. Some of the most useful terms to be remembered while studying coordinate geometry are;

Coordinate axes – In a standard graph, there must be two axes. One is the horizontal one, which is X-axis, and the other one is the vertical one, which is Y-axis.

Origin – The centre or the intersecting point of the X and Y axes is called the origin. It is denoted as (0,0).

Quadrant – The axes divide the plane into four equal parts. These are called quadrants.

Meanwhile, the distance formula for identifying the distance between the two points is as follows.

Section formula

This formula is focused on identifying the coordinates of the point dividing the line into m1:m2 ratio.

The following is the section formula,

m1x2+m2x1/m2+ m1 , m1y2+m2y1/m2+ m1

Area of triangle

This helps us in finding the area of any triangle in terms of coordinates and its vertices. The below-mentioned formula is used in identifying the area of the quadrilaterals,

Area of a Triangle = 1 / 2 * base * altitude sq.units.