NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

# NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Edited By Ramraj Saini | Updated on Oct 07, 2023 08:23 PM IST

## NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Coordinate geometry class 9 questions and answers are provided here. The representation of points in the graphs taking x-axis and y-axis as a reference comes under coordinate geometry. This NCERT syllabus Class 9 chapter talks about the basics of coordinate geometry. These are prepared by the expert team at Careers360 keeping in mind the latest CBSE syllabus 2023. these are in simple and easy to understandable language with having the comprehensive coverage of the concepts. practicing these NCERT solutions students can score well not only board exams but also score well in the competitive exams such as NEET and JEE Mains.

NCERT class 9 maths chapter 3 question answer discussed 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. Here you will get NCERT solutions for Class 9 also.

## Coordinate Geometry Class 9 Solutions - Important Formulae

Divide the plane into two perpendicular lines to create a Cartesian Plane.

Horizontal line = x-axis

Vertical line = y-axis

Coordinates:

Origin coordinates: (0, 0)

Free download NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry for CBSE Exam.

## Coordinate Geometry Class 9 NCERT Solutions (Intext Questions and Exercise)

NCERT Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Excercise: 3.1

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;

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 2 nd street running in the North-South direction and 5 th 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).

(i) From the figure:

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

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 2 nd street running in the North-South direction and 5 th 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).

(ii) From the figure:

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

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

Class 9 maths chapter 3 NCERT solutions Excercise: 3.2

What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?

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

What is the name of each part of the plane formed by these two lines?

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

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

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

(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.

From the 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 $(-3,0).$

Class 9 coordinate geometry NCERT solutions Excercise: 3.3

 x -2 -1 0 1 3 y 8 7 -1.25 2 -1

So, the graph of the given points is

### Features Of NCERT Solutions For Class 9 Maths Chapter 3

This Class 9 NCERT book 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. 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.

Interested students can practice class 9 maths ch 3 question answer using the given exercises.

## NCERT Solutions for Class 9 Maths Chapter Wise

 Chapter No. Chapter Name Chapter 1 Number Systems Chapter 2 Polynomials Chapter 3 Coordinate Geometry Chapter 4 Linear Equations In Two Variables Chapter 5 Introduction to Euclid's Geometry Chapter 6 Lines And Angles Chapter 7 Triangles Chapter 8 Quadrilaterals Chapter 9 Areas of Parallelograms and Triangles Chapter 10 Circles Chapter 11 Constructions Chapter 12 Heron’s Formula Chapter 13 Surface Area and Volumes Chapter 14 Statistics Chapter 15 Probability

## Key Features of NCERT Solutions For Class 9 Maths Chapter 3

1. Chapter 3 maths class 9 solutions foster a positive attitude towards learning among students.
2. These solutions of class 9 chapter 3 provide a clear understanding of the fundamental concepts covered in the chapter.
3. Solving exercise questions chapter-wise with the help of these solutions can improve students' efficiency.
4. Detailed explanations are provided for all questions in the solutions for class 9 chapter 3 maths .
5. Students can work through the maths class 9 chapter 3 solutions at their own pace, gaining valuable practice in the process.

## NCERT Solutions for Class 9 Subject wise

 NCERT Solutions for Class 9 Maths 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 NCERT 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.

Also Check NCERT Books and NCERT Syllabus here:

1. What are the important topics in chapter Coordinate Geometry ?

The cartesian plane, notations, name of the coordinate plane, plot the point in XY-plane, distance formula are the important topics of this chapter.

2. What are the main advantages of using NCERT Solutions for chapter 3 class 9 maths?
1. NCERT Solutions for Class 9 Maths Chapter 3 present solutions in a stepwise manner to enhance comprehension and comfort in grasping concepts.
2. The inclusion of informative diagrams and tables in these solutions encourages comparative analysis and generates interest in learning.
3. These solutions aid students in developing a robust understanding of both fundamental and complex mathematical principles.
4. The solutions also promote quick learning and comprehension of the subject matter.
3. In what ways do NCERT class 9 maths chapter 3 solutions benefit students in the 9th grade?

NCERT Solutions for maths chapter 3 class 9 can assist students in resolving uncertainties and improving their readiness for CBSE exams. The questions in NCERT Solutions can not only aid in exam preparation but also in various competitive exams.

4. What are the strategies to achieve high scores in CBSE exams by utilizing NCERT Solutions for maths chapter 3 class 9th?

Consistent use of coordinate geometry class 9 solutions is recommended for students to acquire comprehensive knowledge of all concepts outlined in the current CBSE curriculum. Our expert team at Careers360 has created these solutions with a strong emphasis on precision, and regular utilization of these solutions can aid students in achieving high scores in CBSE exams.

5. Where can I find the complete solutions of NCERT for Class 9 Maths ?

Here, students will get the detailed NCERT solutions for class 9 maths  by clicking on the link. they can practic these NCERT problems to get in-depth understanding of the concepts that will ultimately lead to score well in the exams.

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

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A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

 Option 1) 2.45×10−3 kg Option 2)  6.45×10−3 kg Option 3)  9.89×10−3 kg Option 4) 12.89×10−3 kg

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

 Option 1) Option 2) Option 3) Option 4)

A particle is projected at 600   to the horizontal with a kinetic energy . The kinetic energy at the highest point

 Option 1) Option 2) Option 3) Option 4)

In the reaction,

 Option 1)   at STP  is produced for every mole   consumed Option 2)   is consumed for ever      produced Option 3) is produced regardless of temperature and pressure for every mole Al that reacts Option 4) at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, will contain 0.25 mole of oxygen atoms?

 Option 1) 0.02 Option 2) 3.125 × 10-2 Option 3) 1.25 × 10-2 Option 4) 2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

 Option 1) decrease twice Option 2) increase two fold Option 3) remain unchanged Option 4) be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

 Option 1) Molality Option 2) Weight fraction of solute Option 3) Fraction of solute present in water Option 4) Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

 Option 1) twice that in 60 g carbon Option 2) 6.023 × 1022 Option 3) half that in 8 g He Option 4) 558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

 Option 1) less than 3 Option 2) more than 3 but less than 6 Option 3) more than 6 but less than 9 Option 4) more than 9