NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Coordinate Geometry Class 9 Questions And Answers PDF Free Download

These NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry have been prepared by Careers360 experts to make learning simpler and to help you score better in exams. A downloadable PDF has been provided — click on the link below to access it.

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NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry: Exercise Questions

Below are the detailed NCERT Class 9 Maths Chapter 3 Coordinate Geometry question answers provided in the textbook.

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

Answer:

To describe the position of a table lamp placed on the table,

Let us consider the table lamp as P and the table as a plane.

Then, we consider two perpendicular edges of the table as the axes OX and OY.

From OY, measure the perpendicular distance $' a'\ cm$ of P.

From OX, measure the perpendicular distance $'b'\ cm$ of P.

Thus, the position of the lamp is then given by;

Question 2: (i) (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 the 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 of 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 the 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find how many cross-streets can be referred to as (4, 3).

Answer:

(i) From the figure:

There is only one cross - streets which can be referred to as (4, 3).

Question 2: (ii) (Street Plan): A city has two main roads that 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 of 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 the 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find how many cross-streets can be referred to as (3, 4).

Answer:

(ii) From the figure:

The cross street is shown by the point $B(3,4).$

We have located the two cross streets because of the two reference lines.

Question 1: (i) Write the answer to each of the following questions: What are the names of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?

Answer:

The Horizontal line is the x-axis, and the Vertical line is the y-axis.

Question 1: (ii) Write the answer to each of the following questions: What is the name of each part of the plane formed by these two lines?

Answer:

The name of each part of the plane formed by the x-axis and the y-axis is called "Quadrant".

Question 1: (iii) Write the answer to each of the following questions: Write the name of the point where these two lines intersect

Answer:

The point where the x-axis and y-axis both intersect is known as 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.

Answer:

From the figure:

(i) The coordinates of B are $(-5,2).$

(ii) The coordinates of C are $(5,-5).$

(iii) Point E is identified by the coordinates (–3, –5).

(iv) Point G is identified by the coordinates (2, – 4).

(v) The abscissa of point D is 6.

(vi) The ordinate of the point H is -3.

(vii) The coordinates of the point L are $(0,5).$

(viii) The coordinates of the point M are $(-3,0).$

Coordinate Geometry Class 9 NCERT Solutions: Exercise-wise

Exercise-wise NCERT Solutions of Coordinate Geometry Class 9 Maths Chapter 3 are provided in the link below.

• Class 9 Maths NCERT Chapter 3 Exercise 3.1
• Class 9 Maths NCERT Chapter 3 Exercise 3.2

Class 9 Maths NCERT Chapter 3: Extra Question

Question: Write the coordinates of a point whose ordinate is 4 and which lies on the y-axis.

Answer:

Any point on the y-axis has its abscissa (x-coordinate) equal to 0.

Given that the ordinate (y-coordinate) is 4, the point is: (0, 4)

Coordinate Geometry Class 9 Chapter 3: Topics

Topics you will learn in NCERT Class 9 Maths Chapter 3 Coordinate Geometry include:

• Introduction
• Cartesian System

Coordinate Geometry Class 9 Solutions: Important Formulae

Axis:

The Cartesian plane is divided by two perpendicular lines called axes (Singular: Axis). The horizontal line is called the x-axis, and the vertical line is called the y-axis.

Origin:

The intersection of the two lines at (0,0) is called the Origin.

Coordinate:

Any point marked on the Cartesian plane is called a coordinate. The coordinate is represented as (x,y). E.g. (1,2)

The coordinate of the Origin is (0,0).

Quadrants:

The x-axis and y-axis divide the Cartesian plane into 4 sections called Quadrants.

The signs of coordinates in each quadrant are,

First quadrant: (+, +)

Second quadrant: (–, +)

Third quadrant: (–, –)

Fourth quadrant: (+, –)

Approach to Solve Questions of Coordinate Geometry Class 9

Using these approaches, students can tackle the Coordinate Geometry Class 9 Chapter 3 Question Answers with greater confidence.

• Understand the Cartesian plane: Learn the structure of the Cartesian plane by knowing its two axes: horizontal (x) and vertical (y), and the way they create four quadrants of the space.
• Know the signs of coordinates in each quadrant: The point positions will be identified correctly through sign conventions, which show (+,+) in I and (-,+) in II, and (-,-) in III and (+,-) in IV.
• Learn how to locate points: Students should learn how to position (x,y) pairs on a Cartesian plane as a way to develop visual expertise.
• Interpret coordinates of given points: The location and shifts of points can be calculated by using the provided coordinates that represent positions across the axes into quadrants.
• Understand the role of origin and axes: The origin point 0,0 serves as the starting point because all point coordinates either include zero on their x-axis or y-axis.
• Practice with real-life applications: Students should use coordinate geometry methods to understand map locations as well as physics graphs during basic academic work.

NCERT Solutions for Class 9 Maths Chapter Wise

We at Careers360 compiled all the NCERT class 9 Maths solutions in one place for easy student reference. The following links will allow you to access them.

Also, read,

• NCERT Notes Class 9 Maths Chapter 3 Coordinate Geometry
• NCERT Exemplar Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

NCERT Class 9 Other Resources

Students can also refer to the NCERT Books and the latest Syllabus for Class 9 provided by Careers360 using the following links.

• NCERT Books Class 9 Maths
• NCERT Books for Class 9 Science
• NCERT Syllabus Class 9 Maths
• NCERT Books Class 9
• NCERT Syllabus Class 9