5.1 Introduction 97

5.2 Complex Numbers 97

5.3 Algebra of Complex Numbers 98

5.4 The Modulus and the Conjugate of a Complex Number 102

5.5 Argand Plane and Polar Representation 104

5.6 Quadratic Equations 108

Free Formulae and concepts about mathematics

5.1 Introduction 97

5.2 Complex Numbers 97

5.3 Algebra of Complex Numbers 98

5.4 The Modulus and the Conjugate of a Complex Number 102

5.5 Argand Plane and Polar Representation 104

5.6 Quadratic Equations 108

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About the Book: R.D Sharma is very famous among IIT-JEE aspirants.Every student refers it for 10+2 level exams like: · IIT-JEE · AIEEE · Medical · Olympiad and other exams Expert Review: Lines of Appreciations (Why should I buy this book?) This book is the one of the best books in Mathematics for beginners. It includes the exercises covering the entire syllabus of Mathematics pertaining to IIT JEE, AIEEE and other state level engineering examination preparation. Although all the topics are covered very well but the topics of Algebra have an edge over others. Permutations and Combinations, Probability, Quadratic equations and Determinants are worth mentioning. It's a one stop book for beginners. It includes illustrative solved examples which help in explaining the concepts better. Room for improvements (Why should I keep away from this book?) Though the book has a good collection of problems but it cannot be said to be s

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1729 is the natural number following 1728 and preceding 1730. It is known as the Hardy-Ramanujan number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan in hospital. He related their conversation: I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways." The two different ways are:1729 = 13 + 123 = 93 + 103 The quotation is sometimes expressed using the term "positive cubes", since allowing negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a divisor of 1729):91 = 63 + (−5)3 = 43 + 33 Numbers that are the smallest number that can be expressed as

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Cracking JEE Main and Advanced requires systematic practice to develop quick approach for envisioning solutions of the questions faced in the exam. The Most appreciated JEE Problems book for the last 12 years New Pattern JEE for Mathematics by renowned, Mr SK Goyal, will help you acquire Comprehension and Analytical ability. Practice more than 8000 Quality Objective Questions of all types, with step by step solutions in an innovative, orderly derived manner in all formats. The book has been divided in 32 chapters, to cover the entire JEE syllabus sections widely covers all types of objective questions. Buy: Practice Book Mathematics for JEE Main and Advanced Paperback – 2018 by S K Goyal (Author)

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Concepts of Functions and Calculus for JEE Main and Advanced Paperback – 26 Apr 2018 by Vikas Rahi (Author) Concepts of Functions and Calculus for JEE Main and Advanced has been conceptualized and developed for the aspirants of various engineering entrance examinations. It makes complex concepts and problems of Calculus easy for the students and provides them as many opportunities for guided practice as needed. It covers all topics and is imbued with a strong conceptual approach, with relevant theory being followed by plenty of solved exercise questions. Step-by-step guidance in problem solving alternative methods of approaching a problem are included to boost aspirants' analytical skill and mathematical skills and are intended to teach them independent problem-solving techniques based upon the solutions. Key Features: Covers the latest JEE (Main and Advanced) syllabus as per the JEE Pattern Apart from having a lucid style and simplicity of explanation, the book

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