# NCERT Solutions for Class 9 Maths Chapter 9 Area Of Parallelograms and triangles In Hindi

Class 9 is a very important academic year for students. Students learn the important foundational concepts of various subjects. That is why some experts consider Class 9 to be more important than Class 10. Often, due to this reason, students find this class difficult. The topics taught in Class 9 are very important for higher studies. It is critical for students to understand the subjects in the long run. For the first time, students in Class 10 sit for board exams. Students who want to do well in their Class 10 board exams should prepare thoroughly for Class 9 topics.

Class 9 also assists students in determining which subjects they are most interested in. Class 9 studies assist students in deciding which subjects to study in Class 11 and Class 12. As a result, students must successfully prepare for Class 9. Students can explore their interests in various subjects in this class.

It is common for students to have difficulty remembering the knowledge they have acquired over a longer period of time due to a variety of reasons, including the overload of information. In order to avoid this, Extramarks provides revision notes that students can use to ensure better retention and recollection. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are available on the Extramarks website for a more comprehensive and elaborate explanation.

Mathematics is an essential topic for students to study. It improves their cognitive and thinking skills. Students improve their analytical thinking skills by using Mathematics. Mathematics also helps to create mental discipline. Mathematics has numerous applications. It is employed in everyday life in some form or another. As a result, children begin studying maths at a young age.

Mathematical skills might help you get work in a range of fields. Its concepts can be used in domains such as Computer Science, Engineering, Astronomy, Statistics, Data Science, and others. Students interested in these vocations should concentrate on mathematics in Class 9.

Mathematics is commonly regarded as difficult by students. To overcome their fear, students must practise numerous questions. Students will find Mathematics simple after solving a large number of problems. It is suggested that students solve a variety of questions. They might acquire confidence in their mathematical ability by solving practice problems. Students must thoroughly prepare for Class 9 Mathematics because it will benefit them in other subjects. Many scientific fields, including Physics and Chemistry, require mathematical talents. Business and Statistics also benefit from Mathematics. Students who are struggling with Mathematics should commit more time and effort to their studies.

While solving questions, students must start with the easy questions first, which require direct application of the formula; this will help them get used to it and retain it faster. Then students should solve the difficult questions, which require analytical thinking. With enough practice, students will soon be able to solve the questions faster and also be able to do calculations in their heads. Students are also advised to recheck their solutions after solving the question. This will help them ensure that they have not made any mistakes.

History and Importance of Mathematics:  In the sixth century BC, the Pythagoreans introduced Mathematics as a “demonstrative science.” The word “Mathematics” first arose from the Greek term “mathema,” which meant “stuff of teaching.”

Mathematical study has a lengthy history. It has been researched by various mathematicians throughout history in different civilizations. Archimedes, who lived in the first century BC, is known as the Father of Mathematics. He devised formulas for calculating the volume and surface area of solids. Aryabhatta, born in 476 CE, is often considered the father of Indian Mathematics.

Mathematics is one of the most important subjects. It is a subject that involves numbers, forms, facts, measurements, and logical processes. Every aspect of Human life, for instance, Business, Science, Finance, Natural Science, day-to-day activities like shopping and calculating, significantly involve Mathematics and its applications.

Another mathematician named Euclid invented the axiom, postulates, theorems, and proofs, which are still employed in modern Mathematics. Each region of the world has its own distinct style of describing Mathematics’ history, which dates back thousands of years. Many mathematicians have proposed numerous theories for various concepts used in modern Mathematics.

Numbers, which we use for computations now, had different forms throughout the mediaeval era. The Romans invented Roman numerals, which portray numbers using the English alphabet.

Mathematical concepts, theories, and formulas have numerous practical applications. To tackle various difficulties, students must learn the equations and principles. It is critical to understand this subject in order to appreciate its many applications and importance. Learning Mathematics is beneficial. Learners can strengthen their analytical and logical reasoning skills.

Application of Mathematics in Real Life: When students are able to relate what they are studying in class to real-life applications, studying becomes easier and more interesting. Some applications of Mathematical concepts in real life are given below.

1. 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 Mathematics.
2. 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 things such as traffic.
3. Geometry is used in professions such as Architecture, Interior design, Civil Engineering, manufacturing, etc.
4. Logarithms are used to simplify complex calculations. Logarithms are used in programming languages and computing memory spaces.
5. Mensuration: Mensuration is used in day-to-day life to measure things, calculate weight, etc. For example, when calculating the areas of walls and floors, Mensuration is used.

## NCERT Solutions for Class 9 Maths Chapter 9 Area Of Parrallelograms and triangles In Hindi pdf download

Chapter 9 of Class 9 Mathematics is on Areas of Parallelograms and Triangles. To excel in Mathematics, students should practise a lot of questions. Hindi-medium students can practice the questions of Chapter 9 from the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are offered by Extramarks, especially for the benefit of Hindi-medium students. Students can download the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi from the website and mobile application of Extramarks. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be downloaded in PDF format for offline access.

With the help of the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi, students will be able to thoroughly solve all the exercise questions from the chapter thoroughly. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are written in a stepwise manner for the students’ clarity. The   NCERT Solutions For Class 9 Maths Chapter 9, in Hindi also contain figures and diagrams to explain the solutions better.

### NCERT Solution for Class 9 Maths Chapter 9- समांतर चतुर्भुज

Chapter 9 of Class 9 Maths, ‘Areas of Parallelograms and Triangles,’ is part of the unit Mensuration, which carries a total of 14 marks. There will be 2 multiple choice questions of 2 marks, 2 short type questions of 6 marks each, and 1 long type question of 6 marks from the unit Menstruation, for a total of 5 marks.

Areas of Parallelograms and Triangles, Figures On The Same Base And Between The Same Parallels, and Triangles On The Same Base And Between The Same Parallels are all topics covered in Chapter 9 – Areas of Parallelograms and Triangles.

The chapter covers various topics, such as “Parallelograms on the Same Base and Between the Same Parallels.” This subtopic explains to students the theorem that states that Parallelograms on the same Base and Between the same Parallel are equal in area. In Chapter 9 Class 9 Mathematics, Theorems, formulas, and their proofs are very important for the students to understand and retain. Theorems are very important since many times, students are asked to prove the Theorems in various exams. Moreover, understanding theorems is very important for having a solid basis for the concepts. Students are advised to first understand the theorem properly and then solve questions based on the theorem. If they face any challenges in solving the questions, then they can refer to the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are available on the website and mobile application of Extramarks and can be downloaded in PDF format. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are the best resources to prepare for this chapter. For Hindi-medium students, the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are very important. They can easily understand the solutions with the help of this resource.

There are in total 4 exercises in the chapter with long and short-form based questions. The solutions for all the questions can be found in the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi.  The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi include the most accurate answers for all the exercises. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi must be referred to by students.

### NCERT Solutions for Class 9

Since Class 9 is such an important academic year for students, students should plan their studies effectively. Given below are a few tips for students to prepare for their Class 9 examinations:

1. Consolidation of Study Material: Students will find that there is a lot of study material accessible both online and offline for Class 9 Mathematics, but students should only choose the best study material for their preparation. They should analyse the material first and then read it. They should select study resources that provide them with the most straightforward and accurate solutions. Furthermore, they should also consider whether the study material they select covers the complete curriculum. Because CBSE provides new rules each year, students should always obtain updated versions of study materials. The NCERT book for Class 9 Mathematics should be the starting point for students. NCERT books are recommended for all CBSE topics. The NCERT books cover the complete syllabus in detail and give students a plethora of practice questions of varying difficulty levels. Students should consult the Extramarks study material in addition to the NCERT books. For instance, to practice questions from Class 9 Chapter 9 in Hindi, students can refer to the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi provided by Extramarks. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi will benefit students a lot. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be downloaded from the website and mobile application of Extramarks. Students can trust the resources provided by Extramarks, as they are expertly verified and proofread regularly. For other subjects of Class 9 also, students should use the study materials provided by Extramarks.
2. Making a Timetable:  Students are more likely to complete topics on time when they have a strategy and deadlines. Higher-weightage and difficulty-level subjects may demand additional study time. As a result, students must set aside time for different topics and chapters. Many students find Mathematics difficult, therefore they should commit more time to practise it. Students in Class 9 Mathematics should focus on several chapters and set weekly and monthly objectives for themselves. This allows them to monitor their progress and ensure that they complete the whole course. The unit of Mensuration includes Chapter 9 on Areas of Parallelograms and Triangles. The unit carries a total of 14 marks. Therefore, this chapter becomes very important, and students should prepare for it thoroughly and devote enough time to it. To prepare for this chapter altogether, students should use the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi have the most accurate answers for Chapter 9.
3. Solving NCERT Exercises: The most important resource for Class 9 school examinations are NCERT questions. NCERT questions provide students with an idea of the types of questions they will face in the exams. NCERT exercises include questions of varying levels of complexity. Students must practice the NCERT questions because questions in the CBSE board exams usually come directly from the NCERT exercises. If students encounter problems, they can use the Extramarks resources to get help. Extramarks’ materials are reliable and trustworthy. NCERT practice questions can also help students prepare for competitive exams. Along with the chapter-end exercises, students must also solve the questions given in between the chapters. For Class 9 Maths Chapter 9, students can refer to the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. Students are advised to download the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi in PDF format from the Extramarks’ website and mobile application of.
4. Mock Tests and Unit Tests: Mock examinations help students assess their preparation. Students are encouraged to take unit exams after finishing a chapter. They should try to answer questions to determine how well they comprehend the chapter. Unit tests must be analysed in order to discover weak areas that students can subsequently work on. Students should also prepare for the term-end exam by taking full-length mock exams. The full mock exams will help them manage their time on exam day. Mock tests will help demonstrate to students how much material they can hold at one time. Mock examinations should be taken in an exam-like setting so that students are not overly apprehensive on exam day. They can use the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi to answer mock exam questions. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are available on the website and mobile application of Extramarks. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be downloaded in PDF format for easy access.
5. Revision: Revision is the most important component of exam preparation. Revision helps students remember a significant amount of information for a longer period of time. Students should be able to recall the majority of the formulas from their Class 9 Mathematics textbooks with proper revision. Revisions must be carried out on a regular basis. Students should review their brief notes as well as their mock tests and unit tests. After several revisions, students will gain confidence. The most effective way to revise Mathematics is to practice questions on a regular basis. Regular question practice will reduce the time it takes students to solve each question, allowing them to complete their papers on time. They should regularly revise the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are very useful for effective preparation of 9 Class Maths Chapter 9 in Hindi.
6. CBSE Sample Papers and Past Years’ Papers: CBSE sample papers are beneficial to students. CBSE publishes sample papers every year before the board exams. The sample papers are crucial because they are up to date with the most recent CBSE criteria. CBSE sample papers must be completed by students. Students must solve past years’ papers on the topics in addition to sample papers. These papers provide learners with an idea of the types of questions the examiner will ask. If students have difficulty solving the example problems or past-year papers, they can refer to the Extramarks study resources. For Class 9 Chapter 9, students can refer to the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be downloaded from the website and mobile application of Extramarks.
7. Short Notes: Short notes are very useful while preparing for exams. They help in revising formulas and theorems before the exam. Short notes save a lot of time for students. Students can consolidate all the formulas from all chapters and make short notes out of them. This will assist them in reviewing all important formulas and their applications prior to the exam, when students will be pressed for time. Students should revise the formulas as many times as they can. The best way to remember all the formulas is to practice a lot of questions. Students can note down all the formulas and important theorems of this chapter in the form of formulas from the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are provided by Extramarks so that students can score well in their exams.
8. Time for Extracurricular Activities: Extracurricular activities are an essential component of academic life. Students must participate in extracurricular activities. They assist students in developing practical skills and rejuvenating their minds. As a result, students must commit time to extracurricular activities. Extracurricular activities contribute to students’ overall personality development. Students can participate in activities such as athletics, discussions, theatrical productions, dance, and so on.

### CBSE Study Materials for Class 9

The core subjects in Class 9 are Mathematics, Social Science, Science, English, and Hindi or Sanskrit. All of the subjects are necessary for passing the Class 9 exams. The Extramarks website and mobile app provide access to study resources for all subjects in Class 9. Based on their needs, students can obtain revision notes, past years’ papers, and NCERT solutions. All of the resources will help them comprehend the subjects better and answer questions from the NCERT exercises. Students should save the resources in PDF format for later use. They can improve their grades by utilising the Extramarks resources. Students must read the resources frequently.

### CBSE Study Materials

All CBSE-affiliated schools recommend NCERT books. Students should consider NCERT books as their primary source of preparation. Along with NCERT books, students can use the study resources provided by Extramarks. Extramarks provides study material in both Hindi and English. The resources provided by Extramarks are very beneficial for students as they cover the entire syllabus holistically.

Extramarks resources are written by subject specialists for the benefit of students. All of Extramarks’ resources are proofread on a regular basis. These solutions cater to the exact demands of the questions, allowing students to study effectively. Extramarks’ materials provide all of the necessary diagrams, theorems, and formulas. Students can use the study resources provided by Extramarks for all of their preparatory needs. Extramarks gives revision notes and past-year paper solutions for revision and analysis of past year papers. All of these resources must be used by students as part of their overall preparation. The Extramarks website and mobile application contain all the resources. Moreover, students can download the files in PDF format. Therefore, to prepare for Class 9 Chapter 9 of Math, students must take the help of the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi, which is offered by Extramarks. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi contain all the solutions and the Parrallelograms and Triangles Questions in Hindi PDF format for the benefit of students. Students will be able to score better with the help of the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi.

About CBSE: CBSE is an abbreviation for The Central Board of Secondary Education. The Central Board of Secondary Education administers board exams to students in classes 10 and 12. The Central Board of Secondary Education is a national educational organisation. It was founded in 1962. It serves as the governing body for both public and private schools. The CBSE is managed and supervised by the Indian Union Government. Every CBSE-affiliated school in India follows the NCERT curriculum. The CBSE is headquartered in New Delhi, India’s capital. Their key responsibilities include dictating the structure and requirements for CBSE-affiliated schools’ examinations and offering recommendations for ways to improve schooling in India.

CBSE Objectives: As a Union organisation, CBSE is concerned with enhancing the education ecosystem for both students and teachers. Its primary objectives are as follows:

2. Raising the country’s educational levels through affiliated institutes in each region.
3. It establishes examination requirements and rewards students with qualification certificates.
5. It incorporates job-related and job-oriented inputs to assist students in learning new skills.

### प्रश्नावली -9.1

Exercise 9.1 of Class 9 Maths Chapter 9 Hindi Medium tests the basic knowledge of students on Parallelograms and Triangles. Exercise 9.1 Class 9 Math Chapter 9 Solution in Hindi is available on the website and mobile application of Extramarks. In this exercise, students have to answer one question, which tests their reasoning ability. Students can refer to the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi to check their answers. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be downloaded in PDF format. Students can use the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi without any concern.

### प्रश्नावली 9.2

Exercise 9.2 has questions on the topic “Parallelograms on the same Base and Between the same Parallels”. To solve all the questions on this topic, students must download the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be downloaded from the website and mobile application of Extramarks. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be downloaded in PDF format. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be completely trusted by students, as all the solutions are proofread and updated regularly to detect any errors. To retain the formulas and theorems related to this exercise, students must revise the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi regularly. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi incorporate the most accurate solutions for this exercise.

With the help of this exercise, students will be able to completely answer all the questions related to the Theorem, which states that: Parallelograms on the same base and between the same parallels are equal in area. Students can further use the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi to answer questions based on this Theorem. Students must download the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi from the website and mobile application of Extramarks. The NCERT Solutions For Class 9 Maths Chapter 9 In Hind will help students to solve all the questions from this exercise accurately. Ultimately, practising a lot of questions will lead students to fetch good marks in their exams.

### प्रश्नावली 9.3

Exercise 9.3 has questions on the topic  “Triangles on the Same Base and Between Same Parallels”. All the questions in this exercise are important to understand the concept thoroughly. Students can find step-by-step explanations of the solutions to this topic in the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi must be referred to by students to write accurate solutions. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are especially beneficial for Hindi-medium students to score well in the exams. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi must be downloaded from the website and mobile application of Extramarks in PDF format. With the help of the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi, students will be able to solve all questions on “Triangles on the Same Base and Between Same Parallels”.

This exercise is based on two very important theorems. The theorems state that

1. Two triangles on the same base (or equal bases) and between the same parallels are equal in area
2. Two triangles having the same base (or equal bases) and equal areas lie between the same parallels.

With the help of NCERT Solutions For Class 9 Maths Chapter 9 In Hindi, students will be able to understand and solve questions based on this topic.

### प्रश्नावली 9.4

Exercise 9.4 of this chapter is an optional exercise, but very important. This exercise’s questions are crucial for developing students’ thinking skills. With the help of this exercise, students will be able to test their understanding of this chapter. Students can find the solutions for this exercise in Hindi from the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi. The   NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are available on the website and mobile application of Extramarks.

### NCERT Solutions for Class 9 Maths Chapter 9 Area of Parallelograms and Triangles in Hindi

Students are advised to download the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi in PDF format. Stepwise answers to all the questions from this exercise are mentioned in the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi.

### 1. Is Class 9 Mathematics tough?

It is true that Class 9 has an increased difficulty level in all subjects but students can make it easier for themselves by studying regularly and practising NCERT exercises. Class 9 Mathematics must also be prepared in this manner. Students can solve NCERT exercises with the help of resources provided by Extramarks. To solve the questions of Chapter 9 Class 9, students can take the help of the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi.

### 2. From where can students download the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi?

Students can download the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi from the website and mobile application of Extramarks.

### 3. Can the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi be downloaded in PDF format?

Yes, the   NCERT Solutions For Class 9 Maths Chapter 9 In Hindi are available in PDF format. Students are advised to download the   NCERT Solutions For Class 9 Maths Chapter 9 In Hindi in PDF format for easy access.

### 4. Is the Class 9 Mathematics syllabus important for Class 10 board examinations?

Yes, the Class 9 Mathematics syllabus is very important for Class 10 board examinations as students learn the basic concepts in Class 9. If they understand the basics well, they will be able to learn the more complex topics easily. Moreover, Class 9 and Class 10 are further very important for Class 11 and Class 12 Mathematics.

### 5. Will the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi help students solve mock papers?

Yes, the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi will help students in solving the mock examination questions. They can also refer to Extramarks’ past years’ papers to find authentic solutions. Students must download the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi for preparing the chapter efficiently.

### 6. Is Extramarks’ study material 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.

### 7. Are solutions for all exercises of Chapter 9 provided by Extramarks?

Yes, the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi contain the solutions of all exercises of Class 9 Chapter 9 Mathematics. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi must be downloaded by students.

### 8. Are the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi also provided in English by Extramarks?

Extramarks does provide study materials in English for students. They can visit the website and mobile application to download the study material in English.

### 9. Are Areas of Parallelograms and Triangles Class 9 Exercises easy to solve?

Yes, the NCERT Solutions For Class 9 Maths Chapter 9 In Hindi provided by Extramarks are written in an easy-to-understand language for the benefit of students. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi must be downloaded from the website and mobile application of Extramarks. The NCERT Solutions For Class 9 Maths Chapter 9 In Hindi can be downloaded in PDF format.