NCERT Solutions are useful for students as it helps them to score well in the class exams. We in our aim to help students have devised detailed chapter wise solutions for the students to understand the concepts easily. The NCERT Solutions contain detailed steps explaining all the problems that come under the chapter 3 “Coordinate Geometry” of the class 9 NCERT Textbook. We followed the latest Syllabus, while creating the NCERT solutions and it is framed in accordance to the exam pattern of the CBSE Board.
These solutions are designed by subject matter experts who have assembled model questions covering all the exercise questions from the textbook. By solving questions from this NCERT Solutions for Class 9, 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 exams and score good marks include the NCERT notes, sample papers, textbooks, previous year papers, exemplar questions and so on.
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Access Answers of Maths NCERT class 9 Chapter 3 – Coordinate Geometry
Exercise 3.1 Page: 53

 How will you describe the position of a table lamp on your study table to another person?
Solution:
For describing the position of 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 line as Y axis and horizontal as X axis respectively. Take one corner of table as origin where both X and Y axes intersect each other. Now, the length of table is Y axis and breadth is X axis. From The origin, join the line to the table lamp and mark a point. The distances of the point from both X and Y axes should be calculated and then should be written in terms of coordinates.
The distance of the point from Xaxis and Y axis is x and y respectively, so the table lamp will be in (x, y) coordinate.
Here, (x,y) = (15, 25)

 (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 EastWest 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 crossstreet 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 crossstreet (2, 5). Using this convention, find:


 how many cross – streets can be referred to as (4, 3).
 how many cross – streets can be referred to as (3, 4).

Solution:


 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


Write the answer of each of the following questions:
 What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
 What is the name of each part of the plane formed by these two lines?
 Write the name of the point where these two lines intersect.

Write the answer of each of the following questions:
Solution:


 The name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane is xaxis and yaxis respectively.
 The name of each part of the plane formed by these two lines xaxis and the yaxis is quadrants.
 The point where these two lines intersect is called the origin.

See Fig.3.14, and write the following:
 The coordinates of B.
 The coordinates of C.
 The point identified by the coordinates (–3, –5).
 The point identified by the coordinates (2, – 4).
 The abscissa of the point D.
 The ordinate of the point H.
 The coordinates of the point L.
 The coordinates of the point M.

Solution:


 The coordinates of B is (−5, 2).
 The coordinates of C is (5, −5).
 The point identified by the coordinates (−3, −5) is E.
 The point identified by the coordinates (2, −4) is G.
 Abscissa means x coordinate of point D. So, abscissa of the point D is 6.
 Ordinate means y coordinate of point H. So, ordinate of point H is 3.
 The coordinates of the point L is (0, 5).
 The coordinates of the point M is (−3, 0).

Exercise 3.3 Page: 65

 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.
Solution:


 (– 2, 4): Second Quadrant (II Quadrant)
 (3, – 1): Fourth Quadrant (IV Quadrant)
 (– 1, 0): Negative xaxis
 (1, 2): First Quadrant (I Quadrant)
 (– 3, – 5): Third Quadrant(III Quadrant)
 Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

x  2  1  0  1  3 
y  8  7  1.25  3  1 
Solution:
The points to plotted on the(x,y) are:


 (2,8)
 (1,7)
 (0,1.25)
 (1,3)
 (3,1)

On the graph mark Xaxis and Yaxis. Mark the meeting point as O.
Now, Let 1 unit = 1 cm

 (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
 (1,7): II Quadrant, Meeting point of the imaginary lines that starts from 1 units to the left of origin O and from 7 units above the origin O
 (0,1.25): On the xaxis, 1.25 units to the left of origin O
 (1,3): I Quadrant, Meeting point of the imaginary lines that starts from 1 units to the right of origin O and from 3 units above the origin O
 (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
NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry
Out of the 80 marks assigned for the CBSE class 9 exams, questions of about 6 marks will be from the Coordinate Geometry. Also, you can expect at least about 23 questions from this section to come surely for the final exam, as seen from the earlier trend. The 3 questions have been assigned with 1,2 and 3 marks respectively, thus adding up to make the 6 marks from the units of Coordinate Geometry.
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
Exercise 3.1 Solutions 2 Questions (1 Long Answer Question, 1 Main Questions with 2 Subquestions under it)
Exercise 3.2 Solutions 2 Questions (1 Main Question with 3 Subquestions, 1 Main question with 8 subquestions)
Exercise 3.3 Solutions 2 Questions (2 Long Answer Questions)
NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry
Coordinate geometry is an interesting subject where you get to learn about the position of an object in a plane, learn about the coordinates or concepts of 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 you might be required to describe its position with reference to more than one line. You can learn more about this from the chapter 3 of NCERT Textbooks. And here we provide you 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
 Helps to inculcate the right attitude to studies amongst 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 explanation
 Students can solve these solutions at their own pace and gain practice