Free PDF download of RD Sharma Class 11 Solutions Chapter 18 - Binomial Theorem Exercise 18.1 solved by Expert Mathematics Teachers on Vedantu. All Chapter 18 - Binomial Theorem Ex 18.1 Questions with Solutions for RD Sharma Class 11 Maths to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.
Binomial Theorem (Ex 18.1) Exercise 18.1 - Free PDF
The Binomial Theorem can be traced back to the 4th century B.C. and Euclid where one finds the formula for (a + b)2. In the 3rd century B.C. the Indian mathematician Pingala introduced the “Pascal’s triangle” giving binomial coefficients in a triangle. Much later, in the 10th century A.D. Indian mathematician ‘Halayudha’ and the Persian mathematician ‘al-Karaji’ also derived similar results as did the 13-th century Chinese mathematician ‘Yang Hui’.
A polynomial with two terms is generally called a binomial. The Binomial Theorem also known as the Binomial Expansion describes the algebraic expansion of powers of a binomial.
It is the method of expanding an expression that is raised to any finite power. The Binomial Theorem is a very powerful tool of expansion, which finds its application in various streams of mathematics like algebra, probability etc.
In the RD Sharma book for Class 11, the students are introduced to the Binomial Theorem. The properties of Binomial coefficients are introduced for easy understanding, after that various terms that are used in the Binomial Expansion are given lastly the Binomial theorem for any index is given with various exercises. Applications of Binomial Theorem and problems related to Binomial Theorem are given in the last section.
Use of Binomial Theorem
The Binomial theorem finds its application in numerous real life tasks. Some of the important uses of Binomial Theorem are listed below.
The binomial theorem is widely used for Statistical purposes and Probability Analysis. It is very useful as a tool for such tedious calculations as our economy depends on Statistical and Probability Analysis.
In advanced mathematics and calculation, the Binomial Theorem is used in finding roots of equations in higher powers. Also, it is used for proving many important equations in physics and mathematics.
The Binomial Theorem finds its heavy application in the Weather Forecast Services which is very important.
It is used for ranking up candidates in large numbers.
It is used in the field of Architecture, and also in estimating the cost of big engineering projects.
In computing areas, the binomial theorem is very useful such as in the distribution of IP addresses to different computer systems. With the help of binomial theorem, the automatic distribution of IP addresses along with the distribution of virtual IP addresses is possible.
Economists use the binomial theorem to count probabilities that depend on different factors to predict the way the economy will behave in the next few years. Binomial Theorem makes these predictions possible.
In design of infrastructure. It allows engineers to calculate the size of the projects and deliver accurate estimates of not only the costs but also time required to construct them.
FAQs on RD Sharma Class 11 Solutions Chapter 18 - Binomial Theorem (Ex 18.1) Exercise 18.1
1. Where can I find useful study materials for Class 11 maths Chapter 18 Binomial Theorem Exercise 18.1?
You can find everything you need on the Vedantu app or website. These resources are created by professionals in the field and the content is accurate and reliable. Students can findchapter introduction,revision notes, important questions, question papers, and other material as well. These study resources are completely free and there is no cost involved. All students have to do is sign in and then you will be able to download what you want in pdf format. You can take advantage of these free resources that will surely help you ace your exams.
2. Why is studying from the RD Sharma book essential for Class 11 Chapter 18?
RD Sharma is a well organised textbook for Class 11 students. This book follows the latest syllabus of education boards. Hence, it is sufficient while preparing for Class 11 exams. It explains the concepts in a very clear and easy manner. It is one of the best books when it comes to strengthening your fundamentals. It has numerous solved examples and exercises that add to a student’s learning. It covers everything that will be asked in the exam. Hence, students are advised to study from this book to secure good marks.
3. According to RD Sharma Class 11 solutions for chapter 18, what is the concept of Binomial Theorem?
According to RD Sharma Class 11 Chapter 18 Exercise 18.1 solutions, The Binomial Theorem also known as the Binomial Expansion describes the algebraic expansion of powers of a binomial. It is the method of expanding an expression that is raised to any finite power. The Binomial Theorem is a very powerful tool of expansion, which finds its application in various streams of mathematics like algebra, probability etc. Students will learn the concept of the Binomial Theorem from RD Sharma very easily.
4. Is it necessary to solve all the questions of exercises 18.1 given in the Binomial Theorem chapter of Class 11 math?
It is always better to solve all the chapter exercises as these give you practice. Maths is not a subject that you can just read or memorize. It requires hard work and practice. RD Sharma has examples and exercises after every section. After going through each section, go through the solved examples and understand them completely. Then move on to the exercises and try to solve them. There are chances of the same questions coming in the examination so students are advised to practice the sums in the exercises well.
5. How to score well in Class 11 math exam?
Practicing maths is the only way to score well in Class 11 maths. Solve all the chapter exercises. This will improve your problem-solving ability and improve your speed and efficiency. You can make notes of important formulas, definitions, and equations in a notebook and revise them regularly. Solve sample papers and question papers of previous years within a time limit. This will get you familiar with the paper pattern, question type as well as improve your time management skills. Revise regularly so that you’re able to retain all you’ve studied for a longer period.