# NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

NCERT Solutions Class 9 Maths Chapter 3 Coordinate Geometry will help students become well versed with key concepts that will be useful for the remaining syllabus. Chapter 3 is also relevant from the board exam perspective and is integrated with other subjects in the NCERT curriculum.

In order to fully understand the topics, Class 9 Maths Chapter 3 Coordinate Geometry solutions would make the ideal complement to your NCERT textbooks.

## Class 9 Maths NCERT Solutions Chapter 3

NCERT class 9 math chapter 3 solutions will introduce the concept of the cartesian grid system. In such a system every intersection of the horizontal and vertical lines produces a point which can be used to locate anything within the cartesian grid. Class 9 NCERT solutions for chapter 3 give you a detailed understanding of the concepts of coordinate geometry which will allow students to ace their exams.

## Making a cartesian grid

The cartesian grid can be constructed by making two intersecting lines perpendicular to each other. The very centre of these two lines where they intersect is the origin, the reference for every point on the graph. Each point that is on the grid can have its position described by two values: distance from the origin along the x-axis and distance from the origin along the y-axis.

These values are also known as the x-coordinate (abscissa) and y-coordinate (ordinate) respectively. These values can be positive or negative – along the x-axis the values to the right of the origin are positive, and along the y-axis the values above the origin are positive.

The four quadrants are labeled in an anti-clockwise manner with the first quadrant being the one where both the axes are positive. The quadrants are denoted by Roman numerals as I, II, III, and IV.

## Points on a coordinate system

The values of the x-coordinate and y-coordinate in combination are written as (x,y) for instance the value 2,3 gives a point that is 2 units along the x-axis in the positive direction, and 3 units along the positive direction of the y-axis. The origin has the coordinates 0,0. One key aspect of the cartesian system is the uniqueness of each point on the coordinates; each point has a unique combination of x and y values so 0,5 and 5,0 are not the same point.

## Exercises In NCERT class 9 chapter 3 Coordinate geometry

There are three exercises in it each dealing with a different aspect of coordinate geometry. The first two exercises deal with constructing the cartesian system and identifying the coordinates of points given on a cartesian plane. The last exercise deals with identifying the quadrants of the given coordinates and plotting points along a cartesian plane.