NCERT Solutions for Exercise 3.1 Class 9 Maths Chapter 3 - Coordinate Geometry

NCERT Solutions for Exercise 3.1 Class 9 Maths Chapter 3 - Coordinate Geometry

Edited By Vishal kumar | Updated on Oct 04, 2023 01:09 PM IST

NCERT Solutions for Class 9 Maths Chapter 3: Coordinate Geometry Exercise 3.1- Download Free PDF

NCERT Solutions for Class 9 Maths chapter 3 exercise 3.1 introduces us to the branch of coordinate geometry. As this is the first time Coordinate Geometry is introduced in the chapter starts with a very basic concept of introduction of the coordinate and coordinate plane. NCERT solutions for Class 9 Maths exercise 3.1 is a base builder exercise for the branch of coordinate geometry and all the chapters that will be studied in further classes. In exercise 3.1 Class 9 Maths, we have given a rough idea about how to write the coordinate of a location how to find the coordinate how it is applied and when we can use it in real life.

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  1. NCERT Solutions for Class 9 Maths Chapter 3: Coordinate Geometry Exercise 3.1- Download Free PDF
  2. NCERT Solutions for Class 9 Maths Chapter 3- Coordinate Geometry Exercise 3.1
  3. Access Coordinate Geometry Class 9 Chapter 3 Exercise: 3.1
  4. More About NCERT Solution for Class 9 Maths Chapter 3 Exercise 3.1
  5. Benefits of NCERT Solutions for Class 9 Maths Exercise 3.1
  6. Key Features of Exercise 3.1 Class 9 Maths
  7. NCERT Solutions of Class 10 Subject Wise
  8. Subject Wise NCERT Exemplar Solutions
NCERT Solutions for Exercise 3.1 Class 9 Maths Chapter 3 - Coordinate Geometry
NCERT Solutions for Exercise 3.1 Class 9 Maths Chapter 3 - Coordinate Geometry

In NCERT solutions for Class 9 Maths exercise 3.1 the focus is on how to apply coordinate geometry in real-life applications and gives us the essence of the importance of this branch of mathematics. These solutions provided for exercise 3.1 class 9 maths are created by subject experts at careers360, ensuring a detailed and easily understandable explanation. This exercise typically consists of two questions, each with various parts. Additionally, the class 9 maths chapter 3 exercise 3.1 are accessible in PDF format, allowing students to use them offline at their convenience, free of cost. These solutions serve as a valuable resource to aid in understanding and mastering the mathematical concepts presented in this exercise. Along with Class 9 Maths chapter 3 exercise 3.1, the following exercises are also present.

NCERT Solutions for Class 9 Maths Chapter 3- Coordinate Geometry Exercise 3.1

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Access Coordinate Geometry Class 9 Chapter 3 Exercise: 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;

1640063724882

Q2 (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 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 on 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 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).

Answer:

(i) From the figure:

1640063749696

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

Q2 (ii) (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 on 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 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).

Answer:

(ii) From the figure:

1640063784821

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

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

More About NCERT Solution for Class 9 Maths Chapter 3 Exercise 3.1

Class 9 Maths chapter 3 exercise 1 broadly includes many types of activities, examples and observations from which we can speculate the importance of coordination in our life. These examples are about the seat arrangement of students, arrangements about the construction of roads. NCERT solutions for Class 9 Maths exercise 3.1 includes a basic concept of locating a point anywhere in the world or a specific area along with this it also consists of a brief history about the origin of coordinate geometry and its application in real life. Exercise 3.1 Class 9 Maths covers all types of basic questions that can be formed on locating the coordinate. Coordinate geometry has vast uses in the whole world, not in mathematics only this is the idea of whole exercise 3.1 Class 9 Maths trying to enlighten us with.

Also Read| Coordinate Geometry Class 9 Notes

Benefits of NCERT Solutions for Class 9 Maths Exercise 3.1

  • Class 9 Mathematics chapter 3 exercise 3.1 covers a broad range of concepts that will be needed to go to Class 9 Maths chapter 3 exercise 3.2.

  • NCERT Class 9 Maths chapter 3 exercise 3.1, will be helpful in Class 10 Maths chapter 7 coordinate geometry

  • Exercise 3.1, Class 9 Maths, is also a foundation idea for several joint entrance test themes (JEE Main).

Key Features of Exercise 3.1 Class 9 Maths

  1. Detailed Explanation: The solutions for Exercise 3.1 in Class 9 Maths are explained in a step-by-step manner, making it easier for students to understand each concept.

  2. Accurate and Concise: The solutions are accurate and concise, providing the most relevant information needed to solve the problems efficiently.

  3. Variety of Questions: Exercise 3.1 typically contains a variety of questions that cover different aspects of the topic, ensuring comprehensive practice.

  4. Accessible Format: The solutions are available in an accessible format, allowing students to use them both online and offline.

  5. Prepared by Experts: These solutions are prepared by subject matter experts, ensuring their quality and accuracy.

  6. Free of Cost: Students can access and download these solutions for free, making them a cost-effective resource for exam preparation.

Also see-

NCERT Solutions of Class 10 Subject Wise

Subject Wise NCERT Exemplar Solutions

Frequently Asked Questions (FAQs)

1. What is coordinate geometry according to NCERT solutions for Class 9 Maths exercise 3.1?

 The study of geometry using the coordinate points is known as coordinate geometry

2. What is coordinates according to NCERT solutions for Class 9 Maths exercise 3.1?

Are a way to find the location of any object on two dimensional or three-dimensional plane

3. How many activities are covered before exercise 3.1 Class 9 Maths and what it is about?

There is one activity covered before exercise 3.1 Class 9 Maths which is about the seating arrangement of seats of students 

4. Who developed the idea of the cartesian system as covered before NCERT solutions for Class 9 Maths exercise 3.1?

René Déscartes. Developed the cartesian system 

5. Explain in brief about the developer of the cartesian system.

René Déscartes is the great French mathematician of the seventeenth century and he developed the cartesian system.

6. Examples of coordinates in real life and what would be the world without them?

Coordinates are used throughout the world for various purposes such as in scientific inventions, world maps to find the location as well as in construction and there are many more examples without coordinate we cannot grow a civilization

7. In the NCERT solutions for Class 9 Maths chapter 3 exercise, how many questions are covered?

In Class 9 Mathematics chapter exercise 3.1, there are two problems.

8. What sorts of questions are included in the NCERT solutions for chapter 3 of Maths for Class 9?

Both questions are about the real-life application of coordinates question is creating a simulation of lamp and we have to move it in the second question has two subparts and it is about arrangements of road     

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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

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

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)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

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

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} 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

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