NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

 

NCERT solutions for class 9 maths chapter 3 Coordinate Geometry- The representation of points in the graphs taking x-axis and y-axis as a reference comes under coordinate geometry. This chapter talks about the basics of coordinate geometry. Solutions of NCERT class 9 maths chapter 3 Coordinate Geometry are there to provide assistance while preparing for the exams and as well as while doing homework. This chapter introduces some basic concepts of coordinate geometry and there will be some higher-level concepts in the upcoming classes. Coordinate geometry was initially developed by a mathematician René  Déscartes and French philosopher.

There are a total of 3 exercises which consist of 6 questions. CBSE NCERT solutions for class 9 maths chapter 3 Coordinate Geometry are designed in such a manner so that a student can score maximum marks in the final examination. Coordinate geometry is an interesting chapter where students get to learn about the position of an object in a plane, the coordinates of the cartesian plane and so on. For example, ”Imagine a situation where Ramesh knows only the street number of his friend’s house. Would it be easy for Ramesh to find his friend's house, or would it be easier if he had both the street number and the house number?” There are many other situations in real life, in which to find a point, we might be required to describe its position with reference to more than one line. NCERT solutions for class 9 maths chapter 3 are covering the explanations to each and every question present in the practice exercises. In NCERT Class 9 Maths Chapter 3 Coordinate Geometry, we will learn the concept of the cartesian plane, notations, name and other terms associated with the coordinate plane and also will learn to plot the point in XY-plane. Apart from this, you can download NCERT solutions for other classes as well as other subjects.

NCERT solutions for class 9 maths chapter 3 Coordinate Geometry Excercise: 3.1

Q1 How will 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;

position of lamp

NCERT solutions for class 9 maths chapter 3 Coordinate Geometry Excercise: 3.2

Q1 (i) 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?

Answer:

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

Q1 (ii) Write the answer of 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".

Q1 (iii) Write the answer of each of the following questions:

Write the name of the point where these two lines intersect.

Answer:

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

Q2 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.

coordinate figure

Answer:

From the figure:

coordinate figure

(i) The coordinates of B are (-5,2).

(ii) The coordinates of C are (5,-5).

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

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

(v) The abscissa of the 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).

NCERT solutions for class 9 maths chapter 3 Coordinate Geometry Excercise: 3.3

Q1 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.

Answer:

(-2,4) lies in second quadrant

(3,-1) lies in fourth quadrant

(-1,0) lies in second quadrant

(1,2) lies in first quadrant

(-3,-5) lies in third quadrant

Q2 Plot the points (x, y) given in the following table on the plane, choosing suitable unitsof distance on the axes.

-2  

-1   

0

1    

3   

8

7

-1.25

2

-1

Answer:

So, the graph of the given points is

Coordinate Geometry

NCERT solutions for class 9 maths chapter wise

Chapter No.

Chapter Name

Chapter 1

NCERT solutions for class 9 maths chapter 1 Number Systems

Chapter 2

CBSE NCERT solutions for class 9 maths chapter 2 Polynomials

Chapter 3

Solutions of NCERT class 9 maths chapter 3 Coordinate Geometry

Chapter 4

NCERT solutions for class 9 maths chapter 4 Linear Equations In Two Variables

Chapter 5

CBSE NCERT solutions for class 9 maths chapter 5 Introduction to Euclid's Geometry

Chapter 6

Solutions of NCERT class 9 maths chapter 6 Lines And Angles

Chapter 7

NCERT solutions for class 9 maths chapter 7 Triangles

Chapter 8

CBSE NCERT solutions for class 9 maths chapter 8 Quadrilaterals

Chapter 9

Solutions of NCERT class 9 maths chapter 9 Areas of Parallelograms and Triangles

Chapter 10

NCERT solutions for class 9 maths chapter 10 Circles

Chapter 11

CBSE NCERT solutions for class 9 maths chapter 11 Constructions

Chapter 12

Solutions of NCERT class 9 maths chapter 12 Heron’s Formula

Chapter 13

NCERT solutions for class 9 maths chapter 13 Surface Area and Volumes

Chapter 14

CBSE NCERT solutions for class 9 maths chapter 14 Statistics

Chapter 15

Solutions of NCERT class 9 maths chapter 15 Probability

NCERT solutions for class 9 subject wise

CBSE NCERT Solutions for Class 9 Maths

Solutions of NCERT Solutions for Class 9 Science

How to use NCERT solutions for class 9 maths chapter 3 Coordinate Geometry?

  • Go through the basic terminologies, concepts, and formulas given in the textbook.

  • Through some solved examples, learn the application of these concepts, terminologies, and formulas.

  • After doing the above two things, you can come to the practice exercises.

  • While practicing if you get stuck anywhere, you can take the assistance of NCERT solutions for class 9 maths chapter 3 Coordinate Geometry.

  • Once you have completed the practice exercise, you can come to the past 5 year papers.

 

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