# NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas (Ex 4.1) Exercise 4.1

## NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas (Ex 4.1) Exercise 4.1

Maths, the science of structure, order, and relation, was born from the basic operations of counting, measuring, and describing the shapes of objects. It involves logical deduction and mathematical computations, and as it has developed, its subject matter has gotten more versatile and dynamic. Since the 17th century, Maths has been an essential supplement to the Physical Sciences and Technology. More recently, it has assumed a comparable position in the quantitative parts of the Life Sciences.

Students often consider Maths to be challenging. Students must practise a significant number of questions in order to make Maths straightforward and simple to learn. Furthermore, consistency is necessary for a thorough comprehension of Maths. To be properly prepared for Maths exams, students must complete questions with varying levels of complexity. They ought to begin the chapter by responding to simple questions before gradually moving on to those that call for the use of their critical thinking and analytical abilities.

In assessments that require critical thinking, students will typically encounter more questions, therefore they should be prepared for a variety of questions. They will be able to complete questions within the allocated time with enough practice. Students are encouraged to read the NCERT textbooks to get ready for Class 6 Maths.

The study of Maths has a long history. The activities of counting, measuring, and describing the shapes of objects led to the development of Maths, which is the science of structure, order, and relationship. Its evolution has involved a rising degree of idealisation and abstraction of its subject matter. It is concerned with logical reasoning and quantitative computation. Since the 17th century, Maths has played a crucial part in the Physical Sciences and Technology, and more recently, it has taken on a similar function in the quantitative portions of the Life Sciences.

Numerous mathematicians from various civilisations have studied it over the years.Archimedes was a famous and highly regarded mathematician who lived in the first century BC.He created formulas for figuring out how much a solid’s volume and surface area weigh. The father of Indian Maths is frequently regarded as Aryabhatt, who was born in 476 CE. The Pythagoreans established Maths as a “demonstrative science” in the sixth century BC.The Greek word “mathema,” which meant “material of teaching,” is where the word “Mathematics” first appeared. Another Mathematician named Euclid developed the axiom, postulates, theorems, and proofs, which are still used in modern Maths.The history of Maths, which spans thousands of years, is told in a unique manner in each part of the world. Numerous theories have been put out by numerous Mathematicians for various notions used in contemporary Maths. The forms of numbers that humans use now for calculations varied during the mediaeval period. Roman numerals, which represent numbers using the English alphabet, were created by the Romans.

The field of Maths is very broad. The discipline of Maths also includes a wide range of specialised areas and fields of study, such as Differential Geometry, Fractal Geometry, Functional analysis, Singularity theory, etc. In addition to the standard fields of number theory, Algebra, Geometry, Analysis (Calculus), Mathematical Logic and Set Theory, more applied sciences of Maths exist in the forms of Probability Theory and Statistics.

Application of Maths in real life: When students can apply what they are learning in class to real-world applications, learning becomes easier and more enjoyable. The following are some real-world applications of mathematical concepts.

• Use of Algebra: Algebra is significantly used in Computer Science.  It is also used while studying Physics, Chemistry. For instance, the study of crystal symmetry uses the concepts of Algebra. Calculus is a very important part of Maths.
• Probability and Statistics: Statistics is used in business all around the world today. The use of Statistics is also found in Data Science. Probability is used in fields such as Weather forecasting, Politics, and Sales forecasting, to predict the occurrence of Natural disasters or day-to-day phenomena such as traffic.
• Geometry is used in professions such as Architecture, Interior design, Civil Engineering, manufacturing of items etc. To prepare for Class 6 Chapter 4 on Basic Geometrical ideas, students can use the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 are available on the website and mobile application of Extramarks. Students are advised to download the  NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 in PDF format.
• Logarithms are used to simplify complex calculations. Logarithms are used in programming languages and in computing memory spaces.
• Mensuration: Mensuration is used in day-to-day life, to measure things, calculate weight etc  For example, while calculating areas of walls and floors Mensuration is used. Mensuration is the discipline of Mathematics that deals with geometric forms and their properties such as length, volume, shape, surface area, lateral surface area, and so on.

About NCERT:  To assist various public and private schools in India in providing high-quality instruction, the Indian government established the National Council of Educational Research and Training (NCERT), an autonomous organisation.Since its founding in 1961, NCERT has been in charge of developing educational materials for classes 1 through 12. The NCERT course framework ensures a student’s complete development, which in turn helps with societal development as a whole. NCERT and its constituent organisations publish and disseminate school-level textbooks, supplemental materials, newsletters, journals, etc. with these goals in mind. By offering students all essential study resources and instructional kits based on a common standard and quality-driven formal education, NCERT has raised the bar for education over time.

All CBSE schools in India use NCERT-recommended texts for classes 1 through 12. The council provides the most accurate information across all subjects, which is continuously reviewed and updated. Due to this, many national and state-level competitive tests, including NEET, JEE, UPSC, etc., advise studying their curricula and reference materials to prepare. By using the NCERT-recommended textbooks and study resources, one can excel academically because the textbooks’ content is written to clearly express both the basic and more complicated concepts of each topic. In truth, the majority of concepts are described in NCERT textbooks using real-world examples and straightforward experiments. Students can refer to the study resources provided by Extramarks for all NCERT solutions.

About CBSE: CBSE is the abbreviation for the Central Board of Secondary Education. Students in Classes 10 and 12 take board exams administered by the Central Board of Secondary Education. The Central Board of Secondary Education is a national educational organisation. In 1962, it was founded. Its responsibility is to supervise both public and private schools. The Indian Union Government oversees and manages the CBSE. The NCERT curriculum is used in every school in India that is affiliated with the CBSE. The CBSE is located in New Delhi, the capital of India. The primary responsibilities of the CBSE include establishing the format and criteria for exams taken at schools that are associated with it as well as making recommendations for ways to improve Indian education. The CBSE is a union organisation that is concerned with enhancing the education system.

### Access Other Exercises of Class 6 Maths Chapter 4

 Chapter 4 – Basic Geometrical Ideas Exercises Exercise 4.2 5 Questions & Solutions Exercise 4.3 3 Questions & Solutions Exercise 4.4 2 Questions & Solutions Exercise 4.5 3 Questions & Solutions Exercise 4.6 4 Questions & Solutions

## NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas (Ex 4.1) Exercise 4.1

Chapter 4 of Class 6 Maths is on Basic Geometrical Ideas. To ace Maths, students must practise a lot of questions. Students can practise the questions of Class 6 Maths Chapter 4 Exercise 4.1 from the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1. The  NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 are offered by Extramarks for the benefit of students. Students can download the  NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 from the website and mobile application of Extramarks. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 can be downloaded in PDF format for offline access.

Students will be able to thoroughly solve Maths Class 6 Chapter 4, Exercise 4.1 with the help of the NCERT Solutions for Class 6 Maths, Chapter 4, Exercise 4.1.The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 are written in a stepwise manner for the clarity of students. The  NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 can help students to self-study and enhance their Maths skills.

### Access NCERT Solutions for Maths Class 6 Chapter 4- Basic Geometric Ideas

Students can access the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 from the website and mobile application of Extramarks. Students are advised to download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 in PDF format. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 will help students  score well in the exams. Students must download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 for effective preparation.

### What Will You Learn In NCERT Solution For Class 6 Maths Exercise 4.1

The chapter establishes students’ conceptual foundations for Geometry and explains the fundamental ideas of Geometry in an engaging way. The first question of Exercise 4.1 presents a diagram and asks students to respond to four questions based on the diagram. In response to question number 2, students are required to name a line with four points in twelve different ways by selecting two letters at a time from a diagram.

In the third question, a figure is presented, and students are required to respond to four questions based on that figure. How many lines can flow through a single provided location, and how many lines may pass through two given points, whichconstitute Question 4.

Students need to create a figure in question 5 to respond to its subparts. There are 10 subparts from “a to j” in question 6, and they must indicate whether each one is true or false. This question is of the true-or-false kind. Solutions to all the questions are provided in the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1. Students must refer to the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 in case of any difficulties.

### Get All the NCERT Solutions at One Place

Extramarks provide students with all the resources they will need in one place. Students will not have to spend any more time searching for the best study resources. With Extramarks, preparation and studying become easier for students. The various resources offered by Extramarks help students of all classes a lot. Moreover, Extramarks also provides study resources for Hindi medium students. All the resources offered by Extramarks can be downloaded in PDF format. Students who find Maths difficult must download the NCERT solutions provided by Extramarks. They can take help from the revision notes to revise important concepts and formulas. Class 6 Maths preparation will become easy with the help of Extramarks’ resources.

They can download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 from the mobile application or website to enhance their preparation for Class 6 Maths Chapter 4 Exercise 4.1. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 will guide students to solve all questions in the most precise and easy way. They must download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 in PDF format so that it is easy to access.

### All the Solutions as per NCERT Guidelines

NCERT books are the main learning resource for Class 6. NCERT books are recommended by the CBSE and thus become very important for students. Along with NCERT books, students should supplement their preparation with resources offered by Extramarks. Resources provided by Extramarks are curated as per NCERT guidelines. Extramarks offers NCERT solutions for all chapters of Class 6 Maths. To prepare for Exercise 4.1 of Class 6 Maths students must refer to the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1  will help students to enhance their Maths scores.

It is very important that students follow the NCERT guidelines. They should practise all the questions provided in the NCERT textbook thoroughly. The exercises provided in the NCERT textbook will help students  test their knowledge of the chapters and will allow them to self-examine their preparation. NCERT exercises contain all types of questions with varying difficulty levels. Some questions test students’ theoretical knowledge, while others test theirpractical understanding of the chapters. Extramarks’ resources will help students solve all types of questions.

### Experienced Teachers

Resources provided by Extramarks are compiled by expert subject teachers who have thorough knowledge and experience in their subjects. Experts engineer the solutions keeping in mind the latest CBSE guidelines and the format of NCERT. Students must therefore refer to the study materials provided to learn from the best teachers. Students can increase their test scores by referring to the resources provided by Extramarks. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 are written by expert Maths teachers. To refer to the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 students can visit the website and mobile application of Extramarks.  The Class 6 Maths Chapter 4 Exercise 4.1 Solutions will benefit students a lot.

### Get Rid of Examination Fear

Students must not be inhibited by exams. They should prepare well in order to perform well. They can use the  NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 to prepare well for Chapter 4 Class 6 Maths. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 are available on the website and mobile application of Extramarks. With the help of Extramarks’ resources, students can gain confidence in all subjects and reduce their fears. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 can be downloaded in PDF format.

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One to One doubt-clearing sessions are provided to the students for their benefit.

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The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 offered by Extramarks are easy to understand. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 are a great resource for students who opt for self-study. Students can match their answers with the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 which are provided by Extramarks. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 contain the most accurate solutions to all NCERT exercise questions. Moreover, the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 are written in a step-by-step format.

### Importance of Revision Notes for NCERT Maths

Extramarks provides students with revision notes for all subjects. Revision notes are very important for studying Class 6 Maths. Revision is the key to preparing efficiently for any exam. Only with ample revision can students  remember all they have learnt throughout the year and perform well in exams. With the help of revision, students are able to effectively understand and recall all the important concepts of any subject. After multiple rounds of revision, students gain confidence in their ability to score well in the exams. Extramarks’ revision notes cover the whole syllabus holistically and focus on important topics. They are designed according to the latest CBSE guidelines and are updated regularly.

Revision notes for Maths will help students  remember all the important formulas before the exams. To prepare for chapter 4 of Class 6 Maths, students must refer to the revision notes and NCERT solutions provided by Extramarks. All the resources provided by Extramarks are available on their website and mobile application. With the help of the resources provided, students will be able to cover the whole syllabus thoroughly. Students can download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 from the website or mobile application.

### Learn Through Visuals

Learning with the help of visuals improves understanding and the capacity of students to remember information for a long time. Extramarks’ NCERT solutions and revision notes contain visuals wherever necessary for the benefit of students. With the help of figures and diagrams, learning becomes engaging and easier.With the help of diagrams, complex and difficult topics can be simplified and made easier to understand . Visual understanding is very important while learning Geometry. Geometry is all about shapes and figures. While preparing for chapter 4 students must practice all the necessary figures. Extramarks’ NCERT solutions for Class 6th Math Exercise 4.1 contain visuals to make this chapter easy for students. They can download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 from the website and mobile applications of Extramarks. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 must be downloaded in PDF format for easy access.

### Mock Tests

Students must take mock tests to prepare for any examination.. Mock exams are a great way to assess preparation levels and identify weak areas to work on. With the help of mock exams, students also learn to manage their time. Time management is very important during exams. If students do not manage their time while preparing for their exams, they won’t be able to study the whole syllabus properly. Time management is also very important while writing the paper to finish it on time. Mock exams prepare students to manage their time. Therefore, mock exams must be given in an exam-like setting.

Appearing for mock exams for Maths will help students  in Class 6 fullyprepare for their term-end exams. While giving mock exams, students should not be concerned about the scores, but they should analyse their papers and identify the areas they need to work on. Students can take help from the resources offered by Extramarks to analyse and prepare for mock exams. Extramarks’ resources can be downloaded from their website and mobile application.

Students can also appear for unit-wise mock examinations. This will ensure that they are giving equal attention to all the chapters. In this manner, all the chapters will be completed thoroughly. To prepare for Exercise 4.1 Class 6 Math, students can give mock examinations for chapter 4. They can analyse the mock exams with the help of the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1.

The Extramarks Learning App is a great tool for learning at any time and from any location. Students will not fall behind in their studies if they use the Learning App. They can use the Learning App whenever they want. With the aid of the Extramarks Learning App, which will make learning enjoyable and interesting, they will learn new information. The Learning App contains all of the NCERT solutions from Class 1 to Class 12, and it also offers all of the website’s features.

With the help of the Learning App, students will get access to every NCERT solution in one place. There are various other features present in the Learning App. Students can access other resources and get their doubts cleared. Studying will become easier and more accessible with the help of Extramarks’ mobile application. Extramarks’ mobile application contains the most accurate solutions to NCERT Class 6 Maths Chapter 4 Exercise 4.1.They can download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 in PDF format from the Learning App. The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 will benefit them in their preparations.

Q.1 Use the figure to name:
(a) Five points
(b) A line
(c) Four rays
(d) Five line segments Ans.

(a) Five points are: O, B, C, D and E.

$\left(\mathrm{b}\right)\text{A line is}\stackrel{↔}{\text{BD}}.$ 

$\left(\text{c}\right)\mathrm{}\text{Four rays are}:\stackrel{\to }{\mathrm{OB}},\stackrel{\to }{\mathrm{OE}},\stackrel{\to }{\mathrm{OD}},\stackrel{\to }{\mathrm{ED}}\text{and}\stackrel{\to }{\text{EB}}$

$\left(\text{d}\right)\text{Five line segments are}:\overline{\text{DE}},\text{}\overline{\text{EO}},\text{}\overline{\text{OB}},\text{}\overline{\text{EB}}\text{and}\overline{\text{DB}}.$

Q.2 Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given. Ans.

$Twelve ways to represent line are: AB ↔ , AC ↔ , AD ↔ , BC ↔ , BD ↔ , CD ↔ , DA ↔ , DB ↔ , DC ↔ , CB ↔ , CA ↔ MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKfMBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8MrFz0xbba9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@9903@$

Q.3 Use the figure to name:

(a) Line containing point E.
(b) Line passing through A.
(c) Line on which O lies
(d) Two pairs of intersecting lines. Ans.

$\begin{array}{l}\left(\text{a}\right)\text{Line containing E is​}\stackrel{↔}{\text{AE}}\text{.}\\ \left(\mathrm{b}\right)\text{Line passing through A is}\stackrel{↔}{\text{AE}}\text{.}\\ \left(\mathrm{c}\right)\text{\hspace{0.17em} Line on which O lies is}\stackrel{↔}{\text{BC}}\text{.}\\ \left(\mathrm{d}\right)\text{\hspace{0.17em} Two pairs of intersecting lines are:}\stackrel{↔}{\text{OC}}\text{and}\stackrel{↔}{\text{BE}},\text{}\stackrel{\to }{\text{AE}}\text{and}\stackrel{\to }{\text{EF}}.\end{array}$

Q.4 How many lines can pass through
(a) one given point?
(b) two given points?

Ans.

(a) Many lines can pass through one point.
(b) Only one line can pass through two given points.

Q.5

$\begin{array}{l}\mathrm{Draw}\mathrm{a rough}\mathrm{figure}\mathrm{and}\mathrm{label}\mathrm{suitably}\mathrm{in}\mathrm{each}\mathrm{of}\mathrm{the}\\ \mathrm{following}\mathrm{cases}:\\ \left(\mathrm{a}\right)\mathrm{Point}\mathrm{P}\mathrm{lies on}\overline{\mathrm{AB}}.\\ \left(\mathrm{b}\right)\stackrel{↔}{\mathrm{XY}}\mathrm{and}\stackrel{↔}{\mathrm{PQ}}\mathrm{intersect}\mathrm{at}\mathrm{M}.\\ \left(\mathrm{c}\right)\mathrm{Line}\mathrm{l}\mathrm{contains}\mathrm{E}\mathrm{and}\mathrm{F}\mathrm{but}\mathrm{not}\mathrm{D}.\\ \left(\mathrm{d}\right)\stackrel{↔}{\mathrm{OP}}\mathrm{and}\stackrel{↔}{\mathrm{OQ}}\mathrm{meet}\mathrm{at}\mathrm{O}.\end{array}$

Ans.

(a) (b) (c) (d) Q.6

$\begin{array}{l}\mathrm{Consider}\mathrm{the}\mathrm{following}\mathrm{figure}\mathrm{of}\mathrm{line}\stackrel{↔}{\mathrm{MN}}.\mathrm{Say}\mathrm{whether}\\ \mathrm{following}\mathrm{statements}\mathrm{are}\mathrm{true}\mathrm{or}\mathrm{false}\mathrm{in}\mathrm{context}\mathrm{of}\mathrm{the}\\ \mathrm{given}\mathrm{figure}.\\ \left(\mathrm{a}\right)\mathrm{Q},\mathrm{M},\mathrm{O},\mathrm{N},\mathrm{Pare}\mathrm{points}\mathrm{on}\mathrm{the}\mathrm{line}\stackrel{↔}{\mathrm{MN}}.\\ \left(\mathrm{b}\right)\mathrm{M},\mathrm{O},\mathrm{N}\mathrm{are}\mathrm{points}\mathrm{on}\mathrm{a}\mathrm{line}\mathrm{segment}\stackrel{↔}{\mathrm{MN}}.\\ \left(\mathrm{c}\right)\mathrm{M}\mathrm{and}\mathrm{N}\mathrm{are}\mathrm{end}\mathrm{points}\mathrm{of}\mathrm{line}\mathrm{segment}\stackrel{↔}{\mathrm{MN}}.\\ \left(\mathrm{d}\right)\mathrm{O}\mathrm{and}\mathrm{N}\mathrm{are}\mathrm{end}\mathrm{points}\mathrm{of}\mathrm{line}\mathrm{segment}\overline{\mathrm{OP}}.\\ \left(\mathrm{e}\right)\mathrm{M}\mathrm{is}\mathrm{one}\mathrm{of}\mathrm{the}\mathrm{end}\mathrm{points}\mathrm{of}\mathrm{line}\mathrm{segment}\overline{\mathrm{QO}}.\\ \left(\mathrm{f}\right)\mathrm{M}\mathrm{is}\mathrm{point}\mathrm{on}\mathrm{ray}\stackrel{\to }{\mathrm{OP}}.\\ \left(\mathrm{g}\right)\mathrm{Ray}\stackrel{\to }{\mathrm{OP}}\mathrm{is}\mathrm{different}\mathrm{from}\mathrm{ray}\stackrel{\to }{\mathrm{QP}}.\\ \left(\mathrm{h}\right)\mathrm{Ray}\stackrel{\to }{\mathrm{OP}}\mathrm{is}\mathrm{same}\mathrm{as}\mathrm{ray}\stackrel{\to }{\mathrm{OM}}.\\ \left(\mathrm{i}\right)\mathrm{Ray}\stackrel{\to }{\mathrm{OM}}\mathrm{is}\mathrm{not}\mathrm{opposite}\mathrm{to}\mathrm{ray}\stackrel{\to }{\mathrm{OP}}.\\ \left(\mathrm{j}\right)\mathrm{O}\mathrm{is}\mathrm{not}\mathrm{an}\mathrm{initial}\mathrm{point}\mathrm{of}\stackrel{\to }{\mathrm{OP}}.\\ \left(\mathrm{k}\right)\mathrm{N}\mathrm{is}\mathrm{the}\mathrm{initial}\mathrm{point}\mathrm{of}\stackrel{\to }{\mathrm{NP}}\mathrm{and}\stackrel{\to }{\mathrm{NM}}.\end{array}$

Ans.

$\begin{array}{l}\left(\text{a}\right)\text{True},\text{Q},\text{M},\text{O},\text{N},\text{P are points on the line\hspace{0.17em}}\stackrel{↔}{\mathrm{MN}}.\\ \left(\mathrm{b}\right)\text{True},\text{M, O, N are points on a line segment}\stackrel{↔}{\text{MN}}\text{.}\\ \left(\mathrm{c}\right)\text{\hspace{0.17em}True},\text{M and N are end points on a line segment}\stackrel{↔}{\text{MN}}\text{.}\\ \left(\mathrm{d}\right)\text{\hspace{0.17em}\hspace{0.17em}}\mathrm{False},\text{O and P are end points of line segment}\overline{\text{OP}}\text{.}\\ \left(\mathrm{e}\right)\text{\hspace{0.17em}}\mathrm{False},\text{Q and O are the end points of line segment}\overline{\text{OQ}}\text{.}\\ \left(\mathrm{f}\right)\text{\hspace{0.17em}}\mathrm{False},\text{N is a point of ray}\stackrel{\to }{\text{OP}}\text{.}\\ \left(\mathrm{g}\right)\text{True, both rays have different starting point.}\\ \left(\mathrm{h}\right)\text{}\mathrm{False},\text{both are opposite rays.}\\ \left(\mathrm{i}\right)\text{}\mathrm{False},\text{}\mathrm{ray}\stackrel{\to }{\mathrm{OM}}\mathrm{isoppositetoray}\stackrel{\to }{\mathrm{OP}}.\\ \left(\mathrm{j}\right)\text{\hspace{0.17em}}\mathrm{False},\text{O is initial point of}\stackrel{\to }{\mathrm{OP}}.\\ \left(\mathrm{k}\right)\text{True, N is initial point of both rays.}\end{array}$

## 1. Is Class 6 Maths tough?

It is true that Class 6 has an increased difficulty level in all subjects but students can make it easier for themselves by studying regularly and practising the exercises provided in the NCERT textbook. Class 6 Maths must also be prepared in this manner. Students can solve the exercises with the help of resources provided by Extramarks. To solve the questions of Chapter 4 Exercise 4.1, students can take the help of the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1.

## 2. From where can students download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1?

Students can download the  NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 from the website and mobile application of Extramarks.

## 3. Can the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 be downloaded in PDF format?

Yes, the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 are available in PDF format. Students are advised to download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 in PDF format for easy access.

## 4. Will the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 help students to solve mock papers?

Yes, the  NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 will help students in solving the mock examination questions. They can also refer to Extramarks’ solutions for past years’ papers to find authentic solutions. Students must download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1  for preparing Chapter 4 efficiently.

## 5. Are Extramarks’ study materials reliable?

Yes, the study resources provided by Extramarks are reliable and authentic. The study resources provided by Extramarks cover the whole syllabus holistically and can be used by students to prepare for their exams. Further, the study materials are updated regularly according to the latest CBSE guidelines.

## 6. Do the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 contain solutions for all exercise questions of Chapter 4 Class 6 Exercise 4.1 Maths?

The NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 contain solutions for all the questions of Class 6 Chapter 4 Exercise 4.1, students can visit the website and mobile application of Extramarks.

## 7. Are the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 useful for preparing for competitive exams?

Yes, candidates preparing for various competitive exams can also make use of the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1. They must download the NCERT Solutions Class 6 Maths Chapter 4 Exercise 4.1 in  PDF format for easy access.