Coordinate Geometry Class 9 Chapter 3 Ex 3.1 NCERT Solutions

NCERT Solutions Class 9 Chapter 3 Ex 3.1 introduces you to plotting points on the XY-plane using ordered pairs (x, y). With clear explanations and step-by-step solutions, this exercise helps students build confidence in reading and marking positions on a graph.

These NCERT Maths Class 9 Coordinate Geometry Exercise 3.1 solutions break down every question in a simple format so that you can easily understand. By practising these problems, you can get a better understanding of horizontal and vertical axes, quadrants, and coordinate representation. 

Class 9 Chapter 3 Coordinate Geometry Exercise 3.1 Solutions

Exercise 3.1 includes basic questions on identifying and plotting points on the Cartesian plane. These Class 9 Chapter 3 Coordinate Geometry Exercise 3.1 Questions help you understand how coordinates represent positions accurately. Class 9 Chapter 3 Coordinate Geometry Exercise 3.1 Solutions are given here: 

Question 1. How will you describe the position of a table lamp on your study table to another person?

Solution:

We use a perpendicular and a horizontal line to depict the location of the table lamp on the study table. Take one corner of the table as the origin, where the X and Y axes cross, and think of the table as a plane with x and y axes. Then, take perpendicular lines as the Y axis and horizontal as the X axis, respectively.

The Y-axis now represents the table's length, and the X-axis represents its width. Join the line to the table lamp from the origin, then indicate the point. After calculating the point's distances from the X and Y axes, the distances should be expressed in coordinates. The distance of the point from the X-axis and the Y-axis is x and y, respectively, so the table lamp will be in (x, y) coordinates. Here, (x, y) = (15, 25)

Question 2. (Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.

All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city in your notebook. Represent the 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 North-South direction and another in the East-West 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)?

Solution:

1. Only one street can be referred to as (4,3) (as clear from the figure).

2. Only one street can be referred to as (3,4) (as we see from the figure).

Coordinate Geometry Class 9 Exercise 3.1 PDF

Coordinate Geometry Class 9 Exercise 3.1 PDF provides fully solved answers. This PDF helps students revise graph plotting quickly during homework and exam preparation.

You can practise point-marking repeatedly and check answers instantly without using your textbook. This PDF is helpful for last-minute revision as it summarises all the important concepts. You can download the Coordinate Geometry Class 9 Exercise 3.1 PDF from here: 

NCERT Solutions Class 9 Maths PDF

How to Prepare NCERT Maths Class 9 Coordinate Geometry Exercise 3.1?

Preparing well for coordinate geometry Class 9 Exercise 3.1 will make the later exercises much easier. Here’s how to study effectively:

• Learn what the x-axis and y-axis represent and how they divide the plane into four quadrants.

• Start by marking easy points like (2, 0), (0, –3), (1, 1) before moving to mixed positive–negative coordinates.

• Practising on graph sheets helps avoid mistakes and builds confidence in marking accurate positions.

• Most errors happen because students ignore + or – signs. Double-check before plotting.

• After plotting, cross-check with the PDF solutions to see if the location is correct.

Explore Chapter Resources