NCERT Solutions Class 9 Maths Chapter 3 Coordinate Geometry Exercise 3.1

Exercise 3.1 of Chapter 3 - Coordinate Geometry provides the fundamentals of the coordinate plane which includes the Cartesian system, x- and y-axes, quadrants, and how to locate points with coordinates. 

This exercise will familiarize you with the way that positions, shown with numbers, are represented in maths. Though it seems like a new concept, with regular practice, the process gets easier. All the questions in this exercise are based on the NCERT text books adhered to the CBSE curriculum.

The NCERT Solutions provide a step by step approach to help students understand the concepts clearly. With regular practice of these NCERT Solutions, students also increase their competency in solving problems based on Coordinate Geometry. 

1.0Download NCERT Solutions of Class 9 Maths Chapter 3 Coordinate Geometry Exercise 3.1: Free PDF

Exercise 3.1 introduces you to the basics of coordinate geometry like learning how to plot points on a graph using x- and y-coordinates. These NCERT Solutions for Class 9 Maths Chapter 3 provides a step by step approach for better conceptual understanding. Download the PDF of the solutions from below:

2.0NCERT Exercise Solutions Class 9 Chapter 3 Coordinate Geometry: All Exercises 

3.0NCERT Class 9 Maths Chapter 3 Exercise 3.1 : Detailed Solutions

• How will you describe the position of a table lamp on your study table to another person? Sol.
  
  The position of the table lamp is at a distance of a units from the left edge of the top of the table and at a distance b units above the bottom edge of the top of the table. We have marked the bottom edge as the line Ax and the left edge as the line Ay. Here Ay $\perp$ Ax. We measure all distances along Ax and Ay from the corner A. The position of the lamp can be described as ( $\mathrm{a},\mathrm{b}$ ).
• (Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the NorthSouth direction and East-West direction. All other streets of the city run parallel to these roads and are 200 m apart. There are about 5 streets in each direction. Using $1\mathrm{cm}=200\mathrm{m}$, draw a model of the city on your notebook. Represent roads/streets by single lines. There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the NorthSouth direction and another in the EastWest direction. Each cross-street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street ( 2,5 ). Using this convention, find: (i) How many cross-streets can be referred to as $(4,3)$. (ii) How many cross-streets can be referred to as $(3,4)$. Sol.
  
  (i) There is only one cross-street referred to $(4,3)$. (ii) There is only one cross-street referred to $(3,4)$.

4.0Key Features and Benefits Class 9 Maths Chapter 3 Coordinate Geometry: Exercise 3.1

• This exercise introduces the fundamentals of Cartesian coordinates using simple and clear examples.
• It illustrates how to plot points on both the X and Y axes as presented in the NCERT syllabus.
• Students develop the practice of reading and writing coordinates of points from each of the four quadrants.
• Regular practice of NCERT solutions enables students to build a strong foundation for the CBSE exams and for future topics in mathematics.
• By solving these questions students develop accuracy and confidence in solving problems on coordinate geometry.
• It allows students to understand how they can employ graphing to easily solve real-life mathematical problems.