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Mathematical Modelling – NCERT Class 11 Mathematics Appendix 2 – Concepts, Importance, and Applications in Real-world Problems
Introduces the idea of mathematical modelling as a method to represent real-world phenomena using mathematical language and tools. Covers the steps in mathematical modelling, examples from various fields such as physics, biology, economics, and engineering, highlighting how models are formulated, analyzed, and interpreted. Discusses the significance of assumptions, predictions, and model limitations with illustrative case studies.
Infinite Series – NCERT Class 11 Mathematics Appendix 1 – Binomial Theorem, Infinite Geometric Series, Exponential and Logarithmic Series
Studies infinite sequences and series including binomial theorem for any index, infinite geometric series with convergence criteria, exponential series defining number e e, its properties, and logarithmic series. Discusses general term derivations, convergence conditions, applications, and illustrative examples from calculus and algebra.
Probability – NCERT Class 11 Mathematics Chapter 14 – Events, Axiomatic Approach, and Probability Calculations
Introduces the concept of events and sample spaces, classifies events, and describes the algebra of events including complementary, union, intersection, and mutually exclusive events. Covers the axiomatic approach to probability, calculation rules, mutually exclusive and exhaustive events, probability of compound events, and historical development of probability theory with examples and exercises.
Statistics – NCERT Class 11 Mathematics Chapter 13 – Measures of Central Tendency, Dispersion, Variance, and Standard Deviation
Introduces the science of statistics focusing on the collection, analysis, and interpretation of data. Discusses measures of central tendency including mean, median, and mode; various measures of dispersion such as range, mean deviation, variance, and standard deviation; methods for ungrouped and grouped data; illustrative examples and exercises; and historical evolution of statistics with key contributors.
Limits and Derivatives – NCERT Class 11 Mathematics Chapter 12 – Introduction to Calculus, Limits, and Differentiation
Introduces fundamental concepts of calculus focusing on limits and derivatives. Covers intuitive understanding of derivatives, rigorous limit definition, algebraic properties of limits, derivatives of standard functions, rules of differentiation, geometric interpretation, and historical development by Newton and Leibnitz with applications in real world scenarios.
Introduction to Three Dimensional Geometry – NCERT Class 11 Mathematics Chapter 11 – Coordinate System, Points, Distances, and Basic Concepts
Introduces the three-dimensional coordinate system with mutually perpendicular axes and planes, defines coordinates of points in space, explains octants, derives the distance formula between points in 3D, discusses collinearity, planes and lines, and provides practical examples and exercises including centroid calculation. Also includes historical notes on the development of 3D geometry.
Conic Sections – NCERT Class 11 Mathematics Chapter 10 – Circles, Parabolas, Ellipses, Hyperbolas, and Applications
Covers geometric definitions, derivation of standard equations, properties, and graphical representations of circles, parabolas, ellipses, and hyperbolas; discusses eccentricity, axes, latus rectum, and real-life applications in physics and engineering, with examples, exercises, and historical context from Apollonius to modern analytic geometry.
Straight Lines – NCERT Class 11 Mathematics Chapter 9 – Coordinate Geometry, Equations, and Applications
Explores coordinate geometry with a focus on the algebraic representation of straight lines, including slope calculation, different forms of line equations (point-slope, two-point, slope-intercept, intercept form), conditions for parallelism and perpendicularity, distance from a point to a line, distance between parallel lines, angle between lines, geometric proofs, and real-world applications.
Sequences and Series – NCERT Class 11 Mathematics Chapter 8 – Arithmetic Progression, Geometric Progression, and Special Series
Explains the concepts of finite and infinite sequences, terms, general (nth) term, types of progressions including arithmetic progression (A.P.), geometric progression (G.P.), relationship between arithmetic mean and geometric mean, special sums (natural numbers, squares, cubes), properties, examples, applications, and historical notes.
Binomial Theorem – NCERT Class 11 Mathematics Chapter 7 – Expansions, Pascal’s Triangle, and Applications
Explores the statement and proof of binomial theorem for positive integral indices, use of binomial coefficients and Pascal’s triangle, patterns in expansions, special cases, and diverse applications including numerical computations, divisibility, and historical context in Indian and world mathematics.
Permutations and Combinations – NCERT Class 11 Mathematics Chapter 6 – Counting Principles, Problems, and Application Scenarios
Discusses the fundamental principle of counting, meaning and types of permutations and combinations, their formulas, properties, differences, solved examples, word problems, circular permutations, and real-life applications.
Alerts and Updates for CUCET
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Alerts and Updates for LNIPE
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Alerts and Updates for BET
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Complete Solutions and Summary of Indian Economy 1950–1990 – NCERT Class 11, Economics, Chapter 2 – Summary, Questions, Answers, Extra Questions
Detailed review of economic planning and development in India from 1950–1990, covering the goals and achievements of five-year plans, public sector growth, agricultural reforms (land reforms and Green Revolution), industrialization, trade policy, criticism of the licensing system, and the rationale for economic reforms by 1991.
Complex Numbers and Quadratic Equations – NCERT Class 11 Mathematics Chapter 4 – Introduction, Algebra, and Geometric Representation
Explains the extension of real numbers to complex numbers, notation and algebra (addition, subtraction, multiplication, division), properties, powers of i, conjugate, modulus, Argand plane, square roots of negative numbers, quadratic equations with complex roots, and historical context, with worked examples and practice exercises.
Alerts and Updates for YASASVI
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Alerts and Updates for CUET(UG)
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Linear Inequalities – NCERT Class 11 Mathematics Chapter 5 – Algebraic Solutions, Graphical Representation, and Real-Life Applications
Covers the concept of inequalities in one and two variables, algebraic solutions and graphical representations, rules for solving inequalities, and real-life applications in mathematics, economics, and science; includes solved examples, word problems, and exercises with double inequalities and systems of inequalities.
Trigonometric Functions – NCERT Class 11 Mathematics Chapter 3 – Angles, Radian Measure, Graphs, and Identities
Explores angle measurement in degrees and radians, definitions and properties of trigonometric functions, values of trigonometric ratios, graphs, signs in different quadrants, domain and range, trigonometric identities for sum, difference, double and triple angles, and numerous illustrative examples and exercises.
Relations and Functions – NCERT Class 11 Mathematics Chapter 2 – Ordered Pairs, Relations, Domain, Range, Functions & Algebra of Functions
Comprehensive coverage of ordered pairs, Cartesian product, definition and examples of relations, domain, range, codomain, concept and types of functions, real-valued functions, constant, identity, polynomial, rational, modulus, signum, and algebra of functions with solved examples and exercises.
Sets – NCERT Class 11 Mathematics Chapter 1 – Foundations, Types, Operations and Venn Diagrams
Explains the fundamental concept of sets, various types and representations, finite and infinite sets, subsets, operations (union, intersection, difference, complement), Venn diagrams, universal set, De Morgan’s laws, and the historical evolution of set theory, with exercises and examples.
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Financial Statements – II – NCERT Class 11 Accountancy Financial Accounting Part II, Chapter 9 – Adjustments in Final Accounts and Practical Examples
Comprehensive coverage of adjustments needed while preparing financial statements including outstanding and prepaid expenses, accrued and advance income, depreciation, bad debts and provisions, manager’s commission, interest on capital; preparation of profit and loss account and balance sheet with adjustments illustrated through examples.
Financial Statements – I – NCERT Class 11 Accountancy Financial Accounting Part II, Chapter 8 – Concepts, Trading Account, and Balance Sheet
Comprehensive guide to the nature and purpose of financial statements, capital and revenue distinction, preparation of Trading Account, Profit and Loss Account, and Balance Sheet, with example statements, closing entries, marshalling, and practical illustrations.
Depreciation, Provisions and Reserves – NCERT Class 11 Accountancy Financial Accounting Part I, Chapter 7 – Concepts, Methods, and Practice
Complete coverage of the meaning, causes, significance, and methods of depreciation (straight line and written down value), distinction from amortisation and depletion; detailed exploration of provisions and reserves, types, accounting treatment, and differences with solved illustrations.
Trial Balance and Rectification of Errors – NCERT Class 11 Accountancy Financial Accounting Part I, Chapter 6 – Summary, Error Types, and Solutions
Detailed concepts on meaning, objectives, and preparation of trial balance; types of accounting errors (commission, omission, principle, compensating); processes of locating and rectifying errors, suspense account handling, and practice problems with solved examples.
Bank Reconciliation Statement – NCERT Class 11 Accountancy Financial Accounting Part I, Chapter 5 – Summary, Concepts, Examples
Comprehensive coverage of the meaning, importance, and need for preparing bank reconciliation statements; step-by-step process, causes for differences between cash book and pass book, format, timing differences, error categories, and solved numerical examples.
Recording of Transactions-II – NCERT Class 11 Accountancy Financial Accounting Part I, Chapter 4 – Summary, Special Purpose Books, and Ledger Posting
Detailed guide to recording transactions using special purpose books (Cash Book, Purchases Book, Purchases Return Book, Sales Book, Sales Return Book, Journal Proper); covers petty cash systems, ledger posting, balancing, and examples for efficient accounting.
Recording of Transactions-I – NCERT Class 11 Accountancy Financial Accounting Part I, Chapter 3 – Summary, Journal Entries, and Ledger Posting
Comprehensive guide to understanding business transactions, source documents, preparation of accounting vouchers, application of accounting equation, rules of debit and credit, journal entries, and posting to ledger accounts.
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Theory Base of Accounting – NCERT Class 11 Accountancy Financial Accounting Part I, Chapter 2 – Summary, Concepts, and Questions
Detailed explanation of the need for a theory base in accounting, nature of Generally Accepted Accounting Principles (GAAP), basic accounting concepts, accounting standards issued by ICAI, and systems and basis of accounting.
Complete Solutions and Summary of Introduction to Accounting – NCERT Class 11 Accountancy Financial Accounting Part I, Chapter 1 – Summary, Questions, Answers, Extra Questions
A comprehensive introduction to the nature, objectives, and scope of accounting; discusses types of accounting information, users of such information, basic terms (like assets, liabilities, income, expenses), and the role of accounting in business decision making.
Complete Solutions and Summary of Motivation and Emotion – NCERT Class 11, Psychology, Chapter 8 – Summary, Questions, Answers, Extra Questions
A comprehensive overview of the nature and types of motivation, theories of motivation, the role and types of emotion, physiological and cognitive bases, expression and regulation of emotions, and their impact on behaviour and well-being.
Complete Solutions and Summary of Thinking – NCERT Class 11, Psychology, Chapter 7 – Summary, Questions, Answers, Extra Questions
Detailed introduction to thinking processes, including the nature and types of thinking; concepts, problem-solving, reasoning, decision-making, and creative thinking; discusses barriers to effective thinking and strategies for improvement.
Complete Solutions and Summary of Human Memory – NCERT Class 11, Psychology, Chapter 6 – Summary, Questions, Answers, Extra Questions
Comprehensive overview of memory systems and processes, including encoding, storage, and retrieval; types of memory such as sensory, short-term, long-term, episodic, semantic, and procedural memory; forgetting and its mechanisms; techniques for memory improvement, and the role of biological and cognitive factors in memory.
Alerts and Updates for National Institute of Social Defence
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Complete Solutions and Summary of Learning – NCERT Class 11, Psychology, Chapter 5 – Summary, Questions, Answers, Extra Questions
An extensive overview of the nature and types of learning, including classical and operant conditioning, observational learning, cognitive learning, factors influencing learning, and applications of learning principles in daily life and educational settings.
Complete Solutions and Summary of Sensory, Attentional and Perceptual Processes – NCERT Class 11, Psychology, Chapter 4 – Summary, Questions, Answers, Extra Questions
Detailed introduction to sensory processes including types of receptors, sensory thresholds, and signal detection; attentional mechanisms and theories; perceptual organization, depth and motion perception, perceptual constancies, and the role of learning and culture in perception.
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