NCERT Solutions Class 9 Maths Chapter 3 – CBSE Free PDF Download
NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry are useful for students as they help them to score well in the board exams. We, at BYJU’S, aim to help students with detailed chapter-wise solutions, so the students understand the concepts easily. By solving questions from NCERT Solutions for Class 9 Maths, students will be able to clear all their concepts about “Coordinate Geometry”. Apart from this, other resources used to help students to prepare for the CBSE exams and score good marks include the NCERT notes, sample papers, textbooks, previous years’ papers, exemplar questions and so on.
NCERT Solutions are designed by subject-matter experts who have assembled model questions covering all the exercise questions from the textbook. The NCERT Solutions contain detailed steps explaining all the problems that come under Chapter 3 “Coordinate Geometry” of the Class 9 NCERT Textbook. We have followed the latest update of the CBSE Syllabus for 2022-23 while creating the NCERT Solutions, and they are framed in accordance with the exam pattern of the CBSE Board.
Class 9 Maths Chapter 3 Coordinate Geometry Topics
Out of the 80 marks assigned for the CBSE Class 9 board exams, questions of about 6 marks will be from Coordinate Geometry. Also, students can expect at least about 2-3 questions from this section to come surely for the exam, as seen from earlier trends. The 3 questions have been assigned with 1, 2 and 3 marks, respectively, thus adding up to make 6 marks from the units of Coordinate Geometry. The main topics covered in this chapter include
- 3.1 Introduction
- 3.2 Cartesian System
- 3.3 Plotting a Point in the Plane if its Coordinates are Given
Why Should We Learn Class 9 Maths Chapter 3 Coordinate Geometry?
Coordinate geometry is an interesting subject where students learn about the position of an object in a plane, learn about the coordinates or concepts of the cartesian plane, and so on. For example, “imagine a situation where you know only the street number of your friend’s house. Would it be easy for you to find her house, or would it be easier if you had both the house number and the street number?” There are many other situations in which to find a point, we might be required to describe its position with reference to more than one line. Students can learn more about this from Chapter 3 of NCERT Textbooks. And here, we provide them with solutions to all the questions covering this topic in the NCERT Solutions for Class 9 Maths.
Key Features of NCERT Solutions for Class 9 Maths Chapter 3 – Coordinate Geometry
- Help to inculcate the right attitude to studies among students
- Make the fundamentals of the chapter very clear to students
- Increase efficiency by solving chapter-wise exercise questions
- The questions are all assembled with detailed explanations
- Students can solve these solutions at their own pace and gain practise
For a better understanding of the concept of Coordinate Geometry, we at BYJU’S, have provided solutions to other textbooks also. They mainly aim to improve analytical and logical thinking abilities, which are important from the exam perspective.
List of Exercises in Class 9 Maths Chapter 3
The list of Class 9 Maths Chapter 3 coordinate geometry exercises is given below.
- Exercise 3.1 Solutions 2 Questions (1 Long Answer Question, 1 Main Question with 2 Sub-questions under it.)
- 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)
Access Answers to NCERT Class 9 Maths Chapter 3 – Coordinate Geometry
Exercise 3.1 Page: 53
1. How will you describe the position of a table lamp on your study table to another person?
To describe the position of the table lamp on the study table, we take two lines, a perpendicular and a horizontal line. Considering the table as a plane (x and y axis) and taking perpendicular lines as the Y axis and horizontal as the 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 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)
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)?
- Only one street can be referred to as (4,3) (as clear from the figure).
- Only one street can be referred to as (3,4) (as we see from the figure).
Exercise 3.2 Page: 60
1. Write the answer to each of the following questions.
(i) What is the name of the horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of the point where these two lines intersect.
(i) The name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane is the x-axis and the y-axis, respectively.
(ii) The name of each part of the plane formed by these two lines, the x-axis and the y-axis, is quadrants.
(iii) The point where these two lines intersect is called the origin.
2. See Fig.3.14, and write the following.
i. The coordinates of B.
ii. The coordinates of C.
iii. The point identified by the coordinates (–3, –5).
iv. The point identified by the coordinates (2, – 4).
v. The abscissa of the point D.
vi. The ordinate of the point H.
vii. The coordinates of the point L.
viii. The coordinates of the point M.
i. The coordinates of B are (−5, 2).
ii. The coordinates of C are (5, −5).
iii. The point identified by the coordinates (−3, −5) is E.
iv. The point identified by the coordinates (2, −4) is G.
v. Abscissa means x coordinate of point D. So, abscissa of point D is 6.
vi. Ordinate means y coordinate of point H. So, the ordinate of point H is -3.
vii. The coordinates of point L are (0, 5).
viii. The coordinates of point M are (−3, 0).
Exercise 3.3 Page: 65
1. In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
- (– 2, 4): Second Quadrant (II-Quadrant)
- (3, – 1): Fourth Quadrant (IV-Quadrant)
- (– 1, 0): Negative x-axis
- (1, 2): First Quadrant (I-Quadrant)
- (– 3, – 5): Third Quadrant (III-Quadrant)
2. Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
The points to be plotted on the (x, y) are
i. (-2, 8)
ii. (-1, 7)
iii. (0, -1.25)
iv. (1, 3)
v. (3, -1)
On the graph, mark the X-axis and the Y-axis. Mark the meeting point as O.
Now, let 1 unit = 1 cm
i. (-2, 8): II- Quadrant, Meeting point of the imaginary lines that starts from 2 units to the left of origin O and from 8 units above the origin O.
ii. (-1, 7): II- Quadrant, Meeting point of the imaginary lines that starts from 1 unit to the left of origin O and from 7 units above the origin O.
iii. (0, -1.25): On the x-axis, 1.25 units to the left of the origin O.
iv. (1, 3): I- Quadrant, Meeting point of the imaginary lines that starts from 1 unit to the right of origin O and from 3 units above the origin O.
v. (3, -1): IV- Quadrant, Meeting point of the imaginary lines that starts from 3 units to the right of origin O and from 1 unit below the origin O.
Dropped Topics – 3.3 Plotting a point in the plane if its coordinates are given.
Frequently Asked Questions on NCERT Solutions for Class 9 Maths Chapter 3
Write the key benefits of NCERT Solutions for Class 9 Maths Chapter 3.
2. They also provide explanatory diagrams and tables for comparative study, which creates an interest in learning.
3. These solutions facilitate the students to build a good knowledge of basic as well as advanced mathematical concepts.
4. They also help students in learning the concepts quickly.