René Déscartes, the great French mathematician of the seventeenth century, solved the problem of describing the position of a point in a plane. You can say that he elaborated on the earlier idea of longitude and latitude. In his honour, the system used to describe the position of the point of a plane is called the cartesian system, and in this exercise, the focus is on the introduction to coordinate geometry and the cartesian system. And here in NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry, the exercises will give you an idea of the topic and the concepts it covers.
Maths is a subject that can be challenging to learn, and acing it requires a lot of practice. Students can now practise their maths skills by solving the NCERT solutions chapter-wise for Class 9 Maths that is provided here. We have taken these questions from the exercises given in the NCERT Textbooks as per the syllabus guidelines. The main aim of creating these questions is to enable the students to score well in Class 9 board exams.
We bring you a collection of all the questions from the exercises with correct and detailed answers, created by our subject matter experts, with an aim to help students to score high in exams. We provide proper illustrations and explanations so that students can understand the concepts better.
NCERT Solutions for Class 9 Maths Chapter 3-Coordinate Geometry Exercise 3.1 helps students to score well and also to face the board exams more confidently, as they gain practice solving these exercises. Students can refer to the solutions/answers to these Coordinate Geometry Exercise 3.1 questions later to see if they were successful in solving the problems.
NCERT Solutions for Class 9 Maths Chapter 3- Coordinate Geometry Exercise 3.1
Access Other Exercise Solutions of Class 9 Maths Chapter 3 – Coordinate Geometry
Exercise 3.2 Solutions 2 Questions (1 Main Question with 3 Sub-questions, 1 Main question with 8 sub-questions)
Exercise 3.3 Solutions 2 Questions (2 Long Answer Questions)
NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry Exercise 3.1
1. How will you describe the position of a table lamp on your study table to another person?
Solution:
To describe the position of a table lamp on the study table, we take two lines, a perpendicular and a horizontal line. Consider the table as a plane (x and y axis) and take the perpendicular line as Y axis and the horizontal as X axis, respectively. Take one corner of the table as the origin where both X and Y axes intersect each other. Now, the length of the table is the Y-axis, and the breadth is the X axis. From the origin, join the line to the table lamp and mark a point. The distances of the point from both the X and Y axes should be calculated and then should be written in terms of coordinates.
The distance of the point from X- axis and Y- axis is x and y, respectively, so the table lamp will be in (x, y) coordinates.
Here, (x, y) = (15, 25)
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 on 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:
- Only one street can be referred to as (4,3) (as we see from the figure).
- Only one street can be referred to as (3,4) (as we see from the figure).
From this exercise from Chapter 3 of NCERT Solutions for Class 9 Maths, students will learn how to describe or identify the position of any object or point lying in a plane. In question 1, they are asked to describe the position of a lamp on a table and in question 2, they will have to represent the roads or streets crossing at the centre of a city using two single lines. For detailed questions and explanations, students can refer to the exercises in the NCERT chapter-wise solutions.
The first question may require the students to explain with the help of a graph or an image, while the second question from this exercise is very elaborate and has 2 short answer questions as a sub-section under it.
Solving these solutions helps students to:
- Study well and revise for the exams
- Students can self-assess their knowledge of the concept
- Improve their efficiency in solving questions
- Get to know the type of questions under the chapter
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