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RD Sharma Solutions Class 12 Maths Chapter 9 - Continuity

Last updated date: 23rd May 2024
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RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity - Free PDF Download

Here, you’ll get a free PDF of RD Sharma Class 12 Chapter 9 Solutions. The best teachers in India have planned and prepared Solutions for the chapter, Continuity. The exercises discuss all of the important topics, and each solution provides a comprehensive description to help students better understand the concepts. These solutions are important in your preparation for all CBSE exams, including the JEE. Many exercises are covered in Chapter 9 – Continuity. For a better understanding, the answer to each question in each exercise is given along with full, step-by-step solutions. This PDF of RD Sharma Class 12 Solutions Continuity and Differentiability will be immensely useful to you in both your assignments and final examination. Download it now from the official website of Vedantu.

RD Sharma Solution of Class 12 Maths Chapter 9 mainly focuses on the concept of continuity. The solutions are prepared by our experts to have a deeper understanding of the topics covered in this chapter and the methods to solve problems in a short period.

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Class 12 RD Sharma Textbook Solutions Chapter 9 - Continuity

We have provided step-by-step solutions for all exercise questions given in the pdf of Class 12 RD Sharma Chapter 9 - Continuity. All the Exercise questions with solutions in Chapter 9 - Continuity are given below:

  • Exercise 9.1

  • Exercise 9.2

Students will focus on continuity problems in this chapter, which will include questions about proving an equation is continuous when given different values of ‘x.' We'll also look at some of the functions of continuity and draw some conclusions. You'll come across reasons for various types of queries, where you'll be asked to explain why one quantity should be replaced with a different value. The PDF is designed by RD Sharma Solution experts to help you understand the chapter and excel in the exams.

Let’s have a look at the syllabus for Class 12 Maths RD Sharma Solutions Chapter 9 - Continuity.

  • The intuitive notion of continuity.

  • Continuity at a point.

  • Algebra of continuous function.

  • Checking the continuity of a function at a point where the function has the same meaning on both sides of a given point.

  • Testing continuity of a function at a specific point when the function has different definitions on both sides of the given point.

  • Finding the constant values given in the function description when it is continuous at the defined point.

  • On continuity of composite function.

  • Continuity on an interval.

  • Continuity on an open interval.

  • Continuity on a closed interval.

  • Definition and meaning of continuous function.

  • Definition and meaning of everywhere continuous function.

  • Properties of continuous function.

  • Testing continuity of a function in its domain.

  • Finding the values of a constant given in its definition, when a function is continuous on its domain.

Students of class 12 can use the RD Sharma Solutions for Class 12 Chapter 9 - Continuity in the right manner that will be most beneficial for them to score good marks in the exam. This study material is created by subject experts in mathematics. These experts have worked hard day and night, to create precise study material that students of class 12 can completely rely on. 

Students of class 12 CBSE who are passionate about Maths will definitely appreciate the RD Sharma book. That's because this book is one of the most in-depth books available for class 12 Maths. The most important thing that stands out and makes RD Sharma books stand out is the fact that it is through. It has the most variety of questions. The spectrum of difficulty of these questions is extremely huge. This book is extremely focused on establishing conceptualization in the students.

Benefits of Reading RD Sharma  Books for Class 12

The readability of the book is extremely simple. This means that students don't have any issue with getting confused or missing a point while reading the theory part. The explanations provided for the mathematical derivations are simple and easy to grasp as well. RD Sharma explains and breaks down the NCERT textbook in the simplest and easiest manner. 

Even if a student is struggling with building his foundation and doesn't know where to start, then studying the RD Sharma will help him strengthen his base. And as everyone says, consistency is the key! Well, this book helps students build a habit of studying consistently and keep the pace needed to succeed. 

To download the RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity, students can click on the download button given on the same page. Students can also visit Vedantu's mobile app for more study materials. 


Limits, Continuity, and Differentiability are the building blocks of Calculus because they are the core of the entire subject. The fundamental definition of a function's limit serves as a basis for the concepts of consistency and differentiability. These ideas are, in effect, natural extensions of the original definition. Pipes, tubes, and ducts with flowing fluids or gases, rivers, overall procedures such as diaries, power plants, highways, logistics in general, computer networks, and semiconductor technologies are some of the typical applications of the continuity equation.

FAQs on RD Sharma Solutions Class 12 Maths Chapter 9 - Continuity

1. How do You Define Continuity?

In calculus, a function is continuous at x = a, only if - all the three following conditions are met: The function is defined at x = a; that is, f(a) equals a real number. As x reaches a, the function's limit exists. The function's limit as x approaches a is the same as the function's value at x = a.

2. What are the 3 Conditions of Continuity?

A function must be defined at a point, its limit must exist at that point, and the value of the function at that point must equal the value of the limit at that point for it to be continuous at that point.

3. Why do we Need Continuity?

Calculus focuses on how functions behave, and continuity is a key property because of how it interacts with other functions' properties. In basic calculus, a function's continuity is both an essential and sufficient condition for differentiation and integration. Continuous functions, on the other hand, have some interesting properties. They are, for example, easily approximated by simpler functions.

4. What are the odds of getting better results with RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity?

If a student is studying from the textbook and creating a habit of studying RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity then scoring high marks in the CBSE class 12 Maths examination is highly possible. But if a student wholly depends on this and overlooks the significance of reading the textbook to get a deeper understanding of the chapters, then the results might not come as expected. So, to achieve promising outcomes, a student should consider studying these solutions as well as reading the textbook. Students can also check out Vedantu's study material for class 12 all subjects. 

5. Is there any correct way to study the RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity? 

Once students know how to solve these questions correctly, the procedure of figuring out the solutions in the original exam question papers becomes simple for them. So the precise manner to solve the RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity is by being adequately ready with the class 12 Maths syllabus initially. Students can do this by reading and getting a full understanding of the extremely significant questions from their NCERT class 12 textbook. Students should rehearse all the substantial formulae and theory questions from the textbook. Also, they shouldn't fail to take notes as they go through the syllabus. After that, students can study the RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity. 

6. Why should CBSE Class 12 students use Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity? 

Students should use the RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity given by Vedantu because it is formulated by the top math experts working here. These solutions are created by tracing the real pattern CBSE employs to make its own solutions. This study resource will encourage students to get used to that pattern and study accordingly by omitting the trivial topics and saving time and energy. This will increase their confidence when they are going to attend the annual examination. You can download the PDF format of the chapter from the Vedantu website.

7. Do I need to rehearse all the questions given in Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity?

The brief answer is yes, a student is expected to practise as many problems provided in Vedantu's RD Sharma Solutions for Class 12 Maths Chapter 9 - Continuity as possible. Although, understanding all of the questions given in the study resource might be one of the best strategies. If a student is doing this on a constant basis it will help students of class 12 to achieve better marks in the class 12 Maths board examination. That's because chapter 9 (Continuity) is reckoned one of the most vital chapters from the examination point of view.