NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Many students trouble finding points on a graph or figuring out which quadrant a point is in. They sometimes get the signs wrong or mix together horizontal and vertical movements.

This is where Coordinate Geometry Chapter 3 of Class 9 Math comes in handy. It helps you learn a simple way to show numbers as points on a plane.

The article lists the NCERT solutions for Class 9 Maths Chapter 3 that will help you understand how to plot points, find quadrants, and avoid making blunders that happen often.

Check Out: PW Class 9th Books!

NCERT Solutions for Class 9 Maths Chapter 3 - Overview

Coordinate geometry is a part of mathematics that helps us understand shapes and figures using a system. NCERT class 9 maths chapter 3, Coordinate Geometry, talks about how to locate the position of a point on a plane using numbers. The chapter explains the Cartesian plane, x-axis, y-axis, origin, quadrants, and ordered pairs. Students also learn how to read and plot points like (2, 3), (-1, 4), or (0, -2). With chapter 3 maths class 9 ncert solutions, students can understand every question step by step and avoid mistakes while identifying coordinates.

NCERT Solutions for Class 9 Maths Chapter 3 Question Answer

NCERT Solutions for Class 9 Maths Chapter 3 offer simple and accurate answers to all exercise questions. They explain coordinate geometry concepts in an easy way, helping students understand points, graphs, and plotting clearly. These solutions are useful for regular practice, quick revision, and improving accuracy, making exam preparation.

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).

Read More: NCERT Solutions for Class 9 Maths chapter-1

Class 9 Chapter 3 Coordinate Geometry Exercise 3.2 Solutions

Class 9 Chapter 3 Coordinate geometry Exercise 3.2 Questions focus on recognising coordinates and placing them in the correct quadrant. Students will practise describing point positions and strengthening their understanding of signs of x and y. Class 9 Chapter 3 Coordinate Geometry Exercise 3.2 Solutions are given here:

Question 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.

Solution:

(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.

Question 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.

Solution:

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).

Read More: NCERT Solutions for Class 9 Maths chapter-2

Benefits of NCERT Solutions for Class 9 Maths Chapter 3

The ncert solutions for class 9 maths chapter 3 help students understand Coordinate Geometry through simple steps and clear examples. Since this chapter is based on positions, signs, and plotting, regular practice makes the concepts easier.

Key benefits include:

• They explain every question in a step-by-step way.

• Students learn how to identify quadrants without confusion.

• Class 9 maths chapter 3 solutions help students avoid mistakes while reading ordered pairs.

• Plotting points becomes easier with repeated practice.

• Students understand the x-axis, y-axis, origin, abscissa, and ordinate clearly.

• Coordinate geometry class 9 solutions are useful for homework, revision, and exam preparation.

Check Out: Class 9th Question Banks

NCERT Solutions Class 9 Science Chapter 3 FAQs

Q1: What defines the Cartesian system in the coordinate geometry class 9 question answer?

The Cartesian system consists of two lines that intersect at a point called the origin. These lines are called the x-axis and the y-axis. They are perpendicular to each other (at 90°). 

This means that any point on a surface can be found using a special pair of numbers, one for the x-axis and one for the y-axis.

Q2: What is the difference between abscissa and ordinate?

The x-value is the distance from left to right. This value is also called the abscissa. The y-value is the distance from top to down. The y-coordinate is also called the ordinate. The abscissa and the coordinates together tell us where a point is.

Q3: How do quadrants work in Chapter 3 maths class 9 NCERT solutions?

The plane is split into four parts. The first part, Quadrant I, has positive signs, so it is (+ +). Then there is Quadrant II, which is negative and positive, so it is (-, +). Quadrant III is negative in both axes, represented as '(-,-)'. Lastly, Quadrant IV is positive and negative, so it is (+,-).