Class 11 maths chapter 8 miscellaneous exercise solutions

NCERT Solutions Class 11 Maths Chapter 11 Miscellaneous Exercise NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise has 8 questions provided at the end of the chapter, which students should solve if they want to gain an extra edge of the subject. These are questions that are meant to challenge a child and help them gauge their understanding of the concepts in a better manner. It is a difficult exercise but is very important if kids want to get good marks in both school as well as competitive exams. ☛ Download NCERT Solutions Class 11 Maths Chapter 11 Miscellaneous Exercise Miscellaneous Exercise Class 11 Chapter 11 Download PDF

Shaalaa.com has the CBSE, Department of Pre-University Education, Karnataka Mathematics Class 11 Mathematics CBSE, Department of Pre-University Education, Karnataka solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students. Concepts covered in Using NCERT Class 11 Mathematics solutions Binomial Theorem exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE, Department of Pre-University Education, Karnataka Class 11 Mathematics students prefer NCERT Textbook Solutions to score more in exams. Get the free view of Chapter 8, Binomial Theorem Class 11 Mathematics additional questions for Mathematics Class 11 Mathematics CBSE, Department of Pre-University Education, Karnataka, and you can use Shaalaa.com to keep it handy for your exam preparation.

NCERT Solutions Class 11 Maths Chapter 8 Binomial Theorem NCERT solutions for class 11 maths chapter 8 binomial theorem deals with the application of the binomial theorem to evaluate the numerical values of numbers that are raised to a very large exponent. Up until this lesson, kids were familiar with finding the squares and cubes of numbers using algebraic identities. However, for higher powers, the calculations become difficult by using repeated multiplication hence, we use the binomial theorem to overcome this issue. It gives an easier way to expand a number in the standard form of (a + b) n, where n is an integer or a rational number. NCERT solutions class 11 maths chapter 8 are based on the fact that as we increase the index of an expansion the value of the terms follows a certain kind of pattern. For example, the total number of terms in an expansion is one more than the index, i.e, (a + b) 2 has an index of 2 but 3 terms in the expansion. Facts like these contributed to the discovery of the binomial theorem. The class 11 maths NCERT solutions chapter 8 also introduces kids to the concept of Pascal’s triangle given by the French mathematician Blaise Pascal. The expansions for the higher powers of a binomial are also possible by using • • • NCERT Solutions for Class 11 Maths Chapter 8 PDF Ancient Indian mathematicians knew about the coefficients in the expansions of (x + y) n , 0 ≤ n ≤ 7. The arrangement of these coefficients was in the form of a diagram called Meru-P...

In the previous exercises of this chapter, you have already learned about the binomial expansion for positive integer and pascal triangle, general and middle term of binomial expansion, etc. In the Class 11 Maths chapter 8 miscellaneous solutions, you will get mixed questions from all the topics of this chapter. You must have completed both the NCERT book previous exercises of this chapter before solving this exercise. The miscellaneous exercise chapter 8 Class 11 is considered to be tougher than the previous exercises of this chapter but if you have solved all the problems of the previous exercises you won't find much difficulty to understanding the miscellaneous exercise chapter 8 Class 11. Binomial Theorem Class 11 Chapter 8 - Miscellaneous Exercise Question:1 a, b and n in the expansion of if the first three terms of the expansion are 729, 7290 and 30375, respectively. Answer: As we know the Binomial expansion of is given by Given in the question, Now, dividing (1) by (2) we get, Now, Dividing (2) by (3) we get, Now, From (4) and (5), we get, Question:2 a if the coefficients of and in the expansion of are equal. Answer: As we know that the general term in the binomial expansion of is given by So, the general term in the binomial expansion of is Now, will come when and will come when So, the coefficient of is And the coefficient of is Now, Given in the question, Hence the value of a is 9/7.

By referring toNCERT Solutions for Class 11 Maths Chapter 8, students are able to comprehend the topics covered in this chapter in detail. The binomial theorem is defined as the process of algebraically expanding the power of sums of two or more binomials. Coefficients of binomial terms in the process of expansion are referred to as binomial coefficients.Our subject experts at Vedantu have solved all the sums and explained all the topics covered in this chapter according to the CBSE guidelines in these NCERT Solutions Class 11 Maths Chapter 8.You can download these solutions from Vedantu for free. It is a segment of basic algebra that students are required to study in Class 11. A proper comprehension of the basic concepts of this chapter will help students before they proceed to study it in detail in their higher classes. Exercise 8.1: This exercise consists of 13 questions and introduces students to the concept of binomial theorem. The questions are based on various concepts such as expanding binomial expressions, finding the middle terms of a binomial expansion, and solving problems related to binomial theorem. Students will learn how to expand binomial expressions using binomial theorem. Exercise 8.2: This exercise consists of 8 questions and is focused on solving problems related to the application of binomial theorem. The questions are based on various concepts such as finding the coefficient of a term in a binomial expansion, solving problems related to the probabili...

Updated for NCERT Class 11 Book - 2023-24 Edition. Get answers to all NCERT exercises, examples and miscellaneous questions of Chapter 13 Class 11 Limits and Derivatives free at teachoo. All solutions are prepared step-by-step wise, with concepts, formulas and detailed explanation of each and every question. This chapter is the introduction to Calculus. Calculus includes Limits, Continuity, Derivatives, Applications of Derivatives (like slope and rate of change), Integration, Application of Integration (like finding area) and Differential Equations. We will study about Limits, and Derivatives in this chapter. Rest of the topics are included in Class 12. In this chapter, we will learn • What limit is • Finding limits by putting values • Finding limits of questions with 0/0 form • Finding limits using x n - a n formula • Finding limits using Trigonometric Formula (sin x/x and 1-cos x) • Checking if limit exists, using Right Hand Limit and Left Hand Limit • What a derivative is • Finding derivatives at a point using first principle • Finding derivatives at the whole domain using f irst principle • Product rule of derivatives (uv)' = u'v + v'u • Quotient rule of derivatives (u/v)' = (u'v - v'u)/v 2 • Finding derivatives using formulas Check out the solutions of the exercises below. or click on a topic to learn the concepts and the questions.

Updated according to new NCERT - 2023-24 NCERT Books. Get NCERT solutions for Class 11 Maths Free with videos. All exercise questions, supplementary questions, examples and miscellaneous are solved with important questions marked. Most of the chapters we will study in Class 11 forms a base of what we will study in Class 12. Forming a good base in Class 11 is important for good marks Class 12 Boards. In each chapter, we have divided it into two parts - Serial Order Wise and Concept Wise. Serial Order Wise is studying the chapter from the NCERT Book. This is useful when you want to look for a particular question or example. Concept Wise is the Teachoo (टीचू) way of doing the chapter. First a topic is explained, and then their questions of that topic - from easy to difficult. We suggest you do all the chapters from Concept Wise, so that your concepts are cleared. Which is important in competitive exams like JEE, GRE, GMAT as well as in Class 12. In this class, the chapters and their topics include • Chapter 1 Sets – What are sets, Roster & Set-builder form, Types of sets - Empty Set, Equal set, Finite & Infinite sets, Subsets, Universal Set, Power Set, Intervals, Venn Diagrams, Operation of sets - Intersection, Union, Complement, Difference • Chapter 2 Relations and Functions – Cartesian Product of sets, Relation - domain, range, co-domain, number of relations, Functions - graph & algebra. • Chapter 3 Trigonometric Functions – Degree to Radian conversion, Trigometric Function...

NCERT Solutions for Class 11 Maths Chapter 8 Miscellaneous Exercise: NCERT Solutions are provided to assist students in comprehending the methods required to solve the mathematical problems presented in the textbook. The NCERT Solutions for Class 11 Maths Chapter 8– Binomial Theorem Miscellaneous Exercise is based on the following topics: • Binomial Theorem for Positive Integral Indices • General and Middle Terms The NCERT Solutions for Class 11 Maths improve Math ideas by providing frequent, focused, and interesting problems and activities. Each exercise question has been carefully solved so that students may understand it, with the examination in mind. The subject matter experts on staff methodically create the NCERT solutions. On kopykitab, you can view and download NCERT solutions for class 11. Access Other Exercise NCERT Solutions Class 11 Maths Chapter 8 You can download the PDF of NCERT Solutions Class 11 Maths Chapter 8 other exercise: • Exercise 8.1 • Exercise 8.2 We have covered everything related to ” FAQs on NCERT Solutions for Class 11 Maths Chapter 8 miscellaneous Exercise Here are the most frequently asked questions related to NCERT Solutions for Class 11 Maths Chapter 8 miscellaneous Exercise by the students.