Academia Aeternum

Basic and Fundamentals

PROBABILITY-Notes

Type: Notes
February 6, 2026

Description: Probability introduces students to the mathematics of uncertainty. In everyday life, we constantly make judgments about chance—whether it will rain, whether a team might win, or whether an exam result...

STATISTICS-Notes

Type: Notes
February 4, 2026

Description: Statistics forms the backbone of data-driven reasoning and real-world decision making. In NCERT Mathematics Class XI Chapter 13, students are introduced to the fundamental tools used to collect, organ...

LIMITS AND DERIVATIVES-Notes

Type: Notes
February 1, 2026

Description: Limits and derivatives form the foundation of differential calculus and open the door to a deeper understanding of change in mathematics. This chapter introduces students to the idea of approaching va...

INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-Notes

Type: Notes
January 30, 2026

Description: Three–Dimensional Geometry marks a decisive shift in mathematical thinking, extending ideas from the plane to space. In Class XI NCERT Mathematics, Chapter 11 introduces students to the geometric desc...

CONIC SECTIONS-Notes

Type: Notes
January 28, 2026

Description: Conic Sections form a bridge between geometry and algebra, revealing how elegant curves arise from simple geometric ideas. In NCERT Class XI Mathematics, Chapter 10 introduces these curves by tracing ...

STRAIGHT LINES-Notes

Type: Notes
January 24, 2026

Description: The chapter Straight Lines marks a decisive transition in Class XI Mathematics from elementary geometry to the systematic framework of coordinate geometry. It equips students with the analytical tools...

SEQUENCES AND SERIES-Notes

Type: Notes
January 22, 2026

Description: The chapter Sequences and Series forms a foundational pillar of higher mathematics and serves as a bridge between elementary algebra and advanced analytical thinking. In NCERT Mathematics Class XI, Ch...

BINOMIAL THEOREM-Notes

Type: Notes
January 21, 2026

Description: The Binomial Theorem occupies a central position in Class XI Mathematics, serving as a powerful bridge between algebraic expressions and combinatorial reasoning. This chapter develops a systematic met...

PERMUTATIONS AND COMBINATIONS-Notes

Type: Notes
January 19, 2026

Description: Permutations and Combinations form the mathematical foundation for systematic counting, enabling students to quantify possibilities without listing them individually. In NCERT Mathematics Class XI, Ch...

LINEAR INEQUALITIES-Notes

Type: Notes
January 18, 2026

Description: LINEAR INEQUALITIES

COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Notes

Type: Notes
January 17, 2026

Description: Mathematics grows by extending ideas when existing concepts are no longer sufficient to solve new problems. In earlier classes, you have studied real numbers and quadratic equations with real solution...

TRIGONOMETRIC FUNCTIONS-Notes

Type: Notes
January 16, 2026

Description: Trigonometrical Functions form one of the most fundamental pillars of higher mathematics and act as a bridge between algebra, geometry, and analysis. In Class XI, this chapter extends the elementary i...

RELATIONS AND FUNCTIONS-Notes

Type: Notes
January 14, 2026

Description: Relations and Functions form the conceptual bridge between elementary set theory and the analytical structure of higher mathematics. This chapter introduces the precise language used to describe how e...

SETS-Notes

Type: Notes
January 13, 2026

Description: The chapter Sets forms the foundational language of modern mathematics and serves as the entry point to higher mathematical thinking in Class XI. Almost every branch of mathematics—relations, function...

PROBABILITY-Notes

Type: Notes
December 20, 2025

Description: Probability marks a significant transition in mathematical learning by introducing students to the systematic study of uncertainty. Unlike earlier chapters that deal with fixed values and definite res...

STATISTICS-Notes

Type: Notes
December 18, 2025

Description: Statistics plays a crucial role in transforming raw numerical information into meaningful conclusions. In Class X Mathematics, Chapter 12 introduces students to the systematic study of data collected ...

SURFACE AREAS AND VOLUMES-Notes

Type: Notes
December 16, 2025

Description: The study of Surface Areas and Volumes forms a crucial bridge between abstract geometry and its tangible real-world applications. This chapter equips learners with the mathematical tools required to m...

AREAS RELATED TO CIRCLES-Notes

Type: Notes
December 15, 2025

Description: The chapter “Areas Related to Circles” marks a significant transition from linear measurement to the study of curved surfaces, enriching students’ understanding of geometry beyond straight lines and p...

CIRCLES-Notes

Type: Notes
December 13, 2025

Description: The chapter “Circles” in NCERT Mathematics Class X introduces learners to one of the most elegant and logically rich areas of geometry. Building upon earlier concepts of lines, angles, and triangles, ...

SOME APPLICATIONS OF TRIGONOMETRY-Notes

Type: Notes
December 12, 2025

Description: Trigonometry becomes truly meaningful when it steps beyond theoretical ratios and begins to illuminate how we measure the world around us. Chapter 9, Some Applications of Trigonometry, introduces lear...

INTRODUCTION TO TRIGONOMETRY-Notes

Type: Notes
December 10, 2025

Description: Trigonometry is one of the most fascinating and powerful branches of mathematics, opening the doorway to understanding angles, heights, distances, navigation, astronomy, architecture, physics, and cou...

COORDINATE GEOMETRY-Notes

Type: Notes
December 8, 2025

Description: Chapter 7, Coordinate Geometry, equips students with powerful analytical tools to study geometrical figures using numbers. Starting from plotting points on the Cartesian plane, the chapter leads to pr...

TRIANGLES-Notes

Type: Notes
December 5, 2025

Description: Understanding triangles is like unlocking the foundational logic behind all geometric structures. Chapter 6 of NCERT Class X Mathematics gently guides learners from simple visual intuition to precise ...

ARITHMETIC PROGRESSIONS-Notes

Type: Notes
December 1, 2025

Description: Patterns lie at the heart of mathematics, and Arithmetic Progressions open the door to understanding how predictable change shapes the world around us. Whether it is the steady increase in taxi fares,...

QUADRATIC EQUATIONS-Notes

Type: Notes
November 30, 2025

Description: Quadratic Equations form one of the most important pillars of algebra in Class X Mathematics. This chapter introduces students to equations containing a squared variable, explores their real-life rele...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-Notes

Type: Notes
November 28, 2025

Description: The chapter “Pair of Linear Equations in Two Variables” introduces students to one of the most important foundations of algebra—understanding and solving two simultaneous linear equations. Through gra...

STATISTICS-Notes

Type: Notes
November 19, 2025

Description: Statistics is an essential branch of mathematics that enables us to collect, organize, analyze, and interpret data meaningfully. In NCERT Class IX Chapter 12, students explore the foundational concept...

SURFACE AREAS AND VOLUMES-Notes

Type: Notes
November 17, 2025

Description: Chapter 11, "Surface Areas and Volumes," guides students into the world of three-dimensional geometry, where mathematical concepts move from flat surfaces to spatial forms. Through this chapter, learn...

HERON’S FORMULA-Notes

Type: Notes
November 16, 2025

Description: In Class IX Mathematics, Chapter 10 “Heron’s Formula” introduces students to a powerful method for finding the area of a triangle when its height is not known. Instead of depending on the traditional ...

CIRCLES-Notes

Type: Notes
November 14, 2025

Description: Chapter 9, “Circles,” introduces students to one of the most fundamental and visually interesting shapes in geometry. A circle is more than just a round figure — it is a geometric form defined by a se...

QUADRILATERALS-Notes

Type: Notes
November 11, 2025

Description: Geometry is one of the most fascinating branches of mathematics because it helps us understand the shapes and patterns all around us. In earlier classes, you studied triangles — figures made of three ...

TRIANGLES-Notes

Type: Notes
November 9, 2025

Description: Triangles form the foundation of geometry and mathematical reasoning. In NCERT Class 9 Mathematics Chapter 7, students embark on an exploration of triangles, covering their different types, properties...

LINES AND ANGLES-Notes

Type: Notes
November 8, 2025

Description: Geometry is one of the most fascinating branches of mathematics, and Chapter 6 – Lines and Angles from the NCERT Class 9 Mathematics textbook introduces students to the foundational concepts of geomet...

INTRODUCTION TO EUCLID’S GEOMETRY-Notes

Type: Notes
October 26, 2025

Description: Chapter 5 of NCERT Class 9 Mathematics, Introduction to Euclid’s Geometry, provides students with the foundational concepts of geometry, tracing its historical evolution and real-life significance. Th...

LINEAR EQUATIONS IN TWO VARIABLES-Notes

Type: Notes
October 25, 2025

Description: The study of Linear Equations in Two Variables builds upon your understanding of linear equations in one variable, extending it to equations involving two unknowns. A linear equation in two variables ...

COORDINATE GEOMETRY-Notes

Type: Notes
October 23, 2025

Description: Coordinate Geometry is a branch of mathematics that links algebra and geometry through the use of coordinates. In Chapter 3 of the NCERT Class IX Mathematics textbook, students learn how to describe t...

Polynomials-Notes

Type: Notes
October 11, 2025

Description: Polynomials form the foundation of algebra and are an essential part of mathematics at the high school level. In NCERT Class X Chapter 2, students are introduced to the concept of polynomials, their t...

REAL NUMBERS-Notes

Type: Notes
September 28, 2025

Description: The chapter “Real Numbers” in Class 10 Mathematics (NCERT) builds on your earlier understanding of numbers and factorisation. It introduces the Fundamental Theorem of Arithmetic, which states that eve...

Polynomials-Notes

Type: Notes
September 11, 2025

Description: Introduction to Polynomials Polynomials form the foundation of algebra and higher mathematics. They are mathematical expressions consisting of variables, coefficients, and constants, combined using...

Number System - Notes

Type: Notes
September 5, 2025

Description:

MCQs & True/False

PROBABILITY-True/False

Type: True-False
February 6, 2026

Description: Probability forms the foundation of logical thinking under uncertainty and plays a vital role in higher mathematics, statistics, and real-world decision making. These carefully designed True and False...

PROBABILITY-MCQs

Type: MCQs
February 6, 2026

Description: These MCQs are carefully designed to support students of NCERT Class XI Mathematics – Chapter 14: Probability in building strong conceptual clarity and exam confidence. The set progresses systematical...

STATISTICS-True/False

Type: True-False
February 4, 2026

Description: These carefully designed True and False questions from NCERT Class XI Mathematics Chapter 13 “Statistics” aim to strengthen conceptual clarity while gradually building analytical depth. Beginning with...

STATISTICS-MCQs

Type: MCQs
February 4, 2026

Description: Statistics forms the backbone of data interpretation and real-world decision making, making it one of the most practical chapters in Class XI Mathematics. These MCQs are carefully designed to strength...

LIMITS AND DERIVATIVES-True/False

Type: True-False
February 1, 2026

Description: True and False questions are a powerful diagnostic tool for mastering Limits and Derivatives in Class XI Mathematics. Carefully designed statements compel learners to test definitions, recognize hidde...

LIMITS AND DERIVATIVES-MCQs

Type: MCQs
February 1, 2026

Description: Limits and derivatives form the foundation of differential calculus and act as a bridge between algebraic reasoning and analytical thinking. The following set of multiple-choice questions is carefully...

INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-True/False

Type: True-False
January 30, 2026

Description: True and False questions play a crucial role in building conceptual clarity in NCERT Mathematics Class XI, Chapter 11: Introduction to Three Dimensional Geometry. Unlike routine numerical problems, th...

INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-MCQs

Type: MCQs
January 30, 2026

Description: Three-dimensional geometry forms the foundation for visualising space, positions, and spatial relationships beyond the plane. Chapter 11 of NCERT Class XI Mathematics, Introduction to Three Dimensiona...

CONIC SECTIONS-True/False

Type: True-False
January 28, 2026

Description: Conic Sections form a foundational pillar of Class XI Mathematics, linking algebraic equations with geometric intuition and preparing students for higher studies in science and engineering. These True...

CONIC SECTIONS-MCQs

Type: MCQs
January 28, 2026

Description: These multiple-choice questions are carefully designed to strengthen conceptual clarity and problem-solving skills in NCERT Class XI Mathematics, Chapter 10 – Conic Sections. Beginning with fundamenta...

STRAIGHT LINES-True/False

Type: True-False
January 24, 2026

Description: The chapter Straight Lines forms a foundational pillar of Coordinate Geometry in NCERT Mathematics Class XI and plays a decisive role in higher mathematics and competitive examinations. Mastery of thi...

STRAIGHT LINES-MCQs

Type: MCQs
January 24, 2026

Description: Straight Lines form one of the most foundational chapters in NCERT Class 11 Mathematics and play a critical role in higher mathematics and competitive examinations. This chapter introduces essential c...

SEQUENCES AND SERIES-True/False

Type: True-False
January 22, 2026

Description: True and False questions form a subtle yet powerful tool for testing conceptual clarity in NCERT Mathematics Class XI Chapter 8 – Sequences and Series. Unlike routine numerical problems, these questio...

SEQUENCES AND SERIES-MCQs

Type: MCQs
January 22, 2026

Description: The chapter Sequences and Series forms a foundational pillar of Class XI Mathematics and plays a critical role in developing algebraic thinking and analytical precision. Mastery of this chapter is ess...

BINOMIAL THEOREM-True/False

Type: True-False
January 21, 2026

Description: True–False questions play a critical role in building conceptual clarity in Mathematics, especially in a foundational chapter like Binomial Theorem. The present set of statements has been carefully de...

BINOMIAL THEOREM-MCQs

Type: MCQs
January 21, 2026

Description: Multiple Choice Questions play a crucial role in assessing conceptual clarity, analytical thinking, and problem-solving speed in Class XI Mathematics. The MCQs based on Chapter 7, Binomial Theorem, ar...

PERMUTATIONS AND COMBINATIONS-True/False

Type: True-False
January 19, 2026

Description: Permutations and Combinations form the conceptual backbone of counting techniques in mathematics and play a decisive role in developing logical reasoning and analytical precision at the senior seconda...

PERMUTATIONS AND COMBINATIONS-MCQs

Type: MCQs
January 19, 2026

Description: Permutations and Combinations form the backbone of counting techniques in Class XI Mathematics and serve as a gateway to higher topics such as probability, discrete mathematics, and advanced combinato...

LINEAR INEQUALITIES-True/False

Type: True-False
January 18, 2026

Description: Linear Inequalities form a foundational pillar of algebraic reasoning in Class XI Mathematics and serve as a critical bridge between elementary algebra and advanced problem-solving required for compet...

LINEAR INEQUALITIES-MCQs

Type: MCQs
January 18, 2026

Description: Linear Inequalities form a foundational pillar of NCERT Class XI Mathematics and act as a gateway to higher algebra, calculus, coordinate geometry, and optimization problems encountered in competitive...

COMPLEX NUMBERS AND QUADRATIC EQUATIONS-True/False

Type: True-False
January 17, 2026

Description: True/False questions play a crucial role in strengthening conceptual clarity in mathematics, particularly in foundational chapters such as Complex Numbers and Quadratic Equations. This format compels ...

COMPLEX NUMBERS AND QUADRATIC EQUATIONS-MCQs

Type: MCQs
January 17, 2026

Description: This carefully curated set of 50 multiple-choice questions from NCERT Class XI Mathematics, Chapter 4: Complex Numbers and Quadratic Equations is designed to build conceptual clarity and progressive p...

TRIGONOMETRIC FUNCTIONS-True/False

Type: True-False
January 16, 2026

Description: This structured collection of True and False questions on Trigonometric Functions is designed to support both two-session and four-session instructional plans commonly followed in senior secondary mat...

TRIGONOMETRIC FUNCTIONS-MCQs

Type: MCQs
January 16, 2026

Description: Trigonometric Functions form a foundational pillar of Class XI Mathematics and act as a gateway to advanced topics in calculus, coordinate geometry, physics, and engineering mathematics. This carefull...

RELATIONS AND FUNCTIONS-True/False

Type: True-False
January 15, 2026

Description: Relations and Functions form a foundational pillar of higher mathematics and act as a bridge between elementary set theory and advanced mathematical analysis. This chapter introduces the formal langua...

RELATIONS AND FUNCTIONS-MCQs

Type: MCQs
January 14, 2026

Description: Relations and Functions form the conceptual backbone of higher mathematics and play a decisive role in developing analytical thinking at the senior secondary level. For Class XI students, this chapter...

SETS-True/False

Type: True-False
January 13, 2026

Description: The chapter “Sets” forms the conceptual foundation of modern mathematics and plays a decisive role in shaping logical thinking at the senior secondary level. True and False questions, though seemingly...

SETS-MCQs

Type: MCQs
January 13, 2026

Description: The chapter “Sets” forms the logical foundation of higher mathematics and plays a decisive role in shaping analytical thinking at the senior secondary level. For students of NCERT Class XI, a clear gr...

PROBABILITY-True/False

Type: True-False
December 20, 2025

Description: This curated set of True and False questions is designed to give Class 10 students a focused and exam-oriented revision of Chapter 14 “Probability”. It systematically revisits core ideas such as exper...

PROBABILITY-MCQs

Type: MCQs
December 20, 2025

Description: Multiple Choice Questions play a crucial role in mastering Probability, as they test not only formula application but also conceptual clarity, logical reasoning, and accuracy in identifying outcomes. ...

STATISTICS-True/False

Type: True-False
December 18, 2025

Description: Statistics in Class 10 introduces students to organised ways of handling real-life data using concepts like mean, median, mode, and graphical representations such as histograms and ogives. To help con...

STATISTICS-MCQs

Type: MCQs
December 18, 2025

Description: Multiple Choice Questions in Statistics are designed to test not only a student’s ability to recall formulas, but also their understanding of data interpretation, logical reasoning, and correct method...

SURFACE AREAS AND VOLUMES-True/False

Type: True-False
December 16, 2025

Description: Surface Areas and Volumes is one of the most application oriented chapters in Class 10 Mathematics, connecting geometry with real life situations such as painting walls, making vessels, packaging boxe...

SURFACE AREAS AND VOLUMES-MCQs

Type: MCQs
December 16, 2025

Description: Multiple Choice Questions play a vital role in strengthening conceptual clarity and exam readiness for the chapter Surface Areas and Volumes. This chapter demands precision in formula application, str...

AREAS RELATED TO CIRCLES-True/False

Type: True-False
December 15, 2025

Description: The following True and False questionnaires on “Areas Related to Circles” are designed to strengthen conceptual clarity for NCERT Class 10 students preparing for school exams and board examinations. E...

AREAS RELATED TO CIRCLES-MCQs

Type: MCQs
December 15, 2025

Description: These multiple-choice questions are carefully designed to provide conceptual clarity, formula mastery, and exam-oriented practice for NCERT Class X Mathematics Chapter 11, Areas Related to Circles. Th...

CIRCLES-True/False

Type: True-False
December 13, 2025

Description: This set of True/False questions on “Circles” is designed to strengthen conceptual clarity for Class 10 students preparing for board examinations. Each statement checks understanding of key ideas such...

CIRCLES-MCQs

Type: MCQs
December 13, 2025

Description: This set of 50 multiple choice questions is designed to give Class 10 students thorough practice of Chapter 10 “Circles” from the NCERT Mathematics textbook. The questions systematically cover all key...

SOME APPLICATIONS OF TRIGONOMETRY-True/False

Type: True-False
December 12, 2025

Description: This set of 25 True/False questions on Chapter 9 “Some Applications of Trigonometry” has been carefully designed to strengthen conceptual understanding as well as exam-oriented problem-solving skills ...

SOME APPLICATIONS OF TRIGONOMETRY-MCQs

Type: MCQs
December 12, 2025

Description: This MCQ set has been meticulously designed to strengthen conceptual understanding and examination readiness for NCERT Class X Mathematics Chapter 9, Some Applications of Trigonometry. By covering def...

INTRODUCTION TO TRIGONOMETRY-True/False

Type: True-False
December 10, 2025

Description: Trigonometry in Class 10 begins with studying the ratios of sides of a right triangle with respect to its acute angles. Students learn six basic trigonometric ratios: sine, cosine, tangent and their r...

INTRODUCTION TO TRIGONOMETRY-MCQs

Type: MCQs
December 10, 2025

Description: Trigonometry stands as one of the most influential branches of mathematics, providing foundational tools for analyzing angles, distances, and geometric relationships in a wide range of real-world cont...

COORDINATE GEOMETRY-True/False

Type: True-False
December 8, 2025

Description: Coordinate Geometry is an important chapter in Class 10 Maths that connects algebra with geometry using the Cartesian plane. In this chapter, students learn to locate points using ordered pairs, calcu...

COORDINATE GEOMETRY-MCQs

Type: MCQs
December 8, 2025

Description: Mastering Coordinate Geometry becomes easier and more engaging when learners test their understanding through well-structured Multiple Choice Questions (MCQs). This collection of MCQs for Chapter 7 is...

TRIANGLES-True/False

Type: True-False
December 5, 2025

Description: Triangles form the foundational building blocks of geometry, appearing everywhere from ancient architecture to modern engineering. This chapter explores how triangles relate to each other through simi...

TRIANGLES-MCQs

Type: MCQs
December 5, 2025

Description: Mastering the chapter Triangles is essential for building strong foundational skills in geometry at the Class X level. These MCQs are thoughtfully crafted to help learners explore every dimension of t...

ARITHMETIC PROGRESSIONS-True/False

Type: True-False
December 2, 2025

Description: Arithmetic Progressions (AP) form an important part of the Class X Mathematics curriculum. This chapter introduces the concept of sequences where the difference between consecutive terms is constant. ...

ARITHMETIC PROGRESSIONS-MCQs

Type: MCQs
December 2, 2025

Description: NCERT Class 10 Mathematics Chapter 5 “Arithmetic Progressions” is a high scoring chapter that tests a student’s conceptual clarity, formula application, and problem solving speed in sequences and seri...

QUADRATIC EQUATIONS-True/False

Type: True-False
November 30, 2025

Description: NCERT Class X Mathematics Chapter 4, "Quadratic Equations," introduces second-degree polynomial equations of the form \mathbit{a}\mathbit{x}^\mathbf{2}+\mathbit{bx}+\mathbit{c}=\mathbf{0} where \mathb...

QUADRATIC EQUATIONS-MCQs

Type: MCQs
November 30, 2025

Description: Master NCERT Class X Mathematics Chapter 4 "Quadratic Equations" with these 50 carefully crafted MCQs, balanced across easy, medium, and hard difficulty levels. Covering standard form ax^2+bx+c=0 (whe...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-True/False

Type: True-False
November 29, 2025

Description: Master the fundamentals of NCERT Class 10 Mathematics Chapter 3: Pair of Linear Equations in Two Variables with these 25 carefully crafted True/False questions. Designed for CBSE board exam preparatio...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-MCQs

Type: MCQs
November 28, 2025

Description: The following MCQs for NCERT Class X Mathematics Chapter 3, “Pair of Linear Equations in Two Variables,” are designed to help learners strengthen conceptual clarity and exam readiness. These questions...

STATISTICS-True/False

Type: True-False
November 19, 2025

Description: Mastering statistics is a crucial skill for every Class 9 student as it strengthens data handling, presentation, and analytical abilities. This comprehensive set of 25 True/False questions for NCERT M...

STATISTICS-MCQS

Type: MCQs
November 19, 2025

Description: Statistics in Class 9 Mathematics (Chapter 12) lays the foundation for understanding how data is collected, organized, and represented using different graphical methods. In this chapter, students lear...

SURFACE AREAS AND VOLUMES-True/False

Type: True-False
November 17, 2025

Description: Sharpen your understanding of three-dimensional geometry with this curated set of 25 True/False questions based on NCERT Class 9 Mathematics Chapter 11, "Surface Areas and Volumes." Each statement tes...

SURFACE AREAS AND VOLUMES-MCQs

Type: MCQs
November 17, 2025

Description: Surface Areas and Volumes introduces Class IX learners to the real-world application of geometry through the study of 3D shapes, their surface areas, and volumes. Students explore cubes, cuboids, cyli...

HERON’S FORMULA-True/False

Type: True-False
November 16, 2025

Description: Are you ready to evaluate your understanding of Heron’s Formula from NCERT Class 9 Mathematics Chapter 10? This comprehensive set of 25 true/false questions helps students solidify their grasp on the ...

HERON’S FORMULA-MCQs

Type: MCQs
November 16, 2025

Description: Mastering Heron’s Formula is essential for every Class 9 learner, especially when solving problems based on triangles with known side lengths. This chapter not only strengthens conceptual understandin...

CIRCLES-True/False

Type: True-False
November 14, 2025

Description: This true/false questionnaire on NCERT Class IX Mathematics Chapter 9 "Circles" helps students strengthen their understanding of fundamental concepts like chords, arcs, sectors, and various theorems. ...

CIRCLES-MCQs

Type: MCQs
November 14, 2025

Description: Multiple Choice Questions (MCQs) are one of the most effective tools for mastering Chapter 9 “Circles” of NCERT Class 9 Mathematics. This chapter builds a clear understanding of key geometric ideas, i...

QUADRILATERALS-True/False

Type: True-False
November 12, 2025

Description: Master the key concepts of NCERT Class 9 Mathematics Chapter 8 "Quadrilaterals" with this comprehensive True-False questionnaire. Featuring 25 carefully crafted statements, each with clear answers and...

QUADRILATERALS-MCQs

Type: MCQs
November 12, 2025

Description: Mastering the concepts of Quadrilaterals is crucial for building a strong foundation in geometry for Class 9 students. This collection of 50 multiple choice questions (MCQs) from NCERT Mathematics Cha...

TRIANGLES-True/False

Type: True-False
November 9, 2025

Description: True/False questions are a powerful tool for mastering concepts quickly and confidently. For NCERT Class 9 Mathematics Chapter 7 "Triangles," this collection of statements offers a rapid review of def...

TRIANGLES-MCQs

Type: MCQs
November 9, 2025

Description: Understanding Triangles is a vital part of Class 9 Mathematics, as it lays the foundation for higher geometry concepts in later classes and competitive exams. This collection of 50 Multiple Choice Que...

LINES AND ANGLES-True/False

Type: True-False
November 8, 2025

Description: This True/False questionnaire is designed for students of NCERT Class IX Mathematics, specifically covering Chapter 6, "Lines and Angles." It includes 25 carefully crafted statements to test and reinf...

LINES AND ANGLES-MCQs

Type: MCQs
November 8, 2025

Description: Master your understanding of Lines and Angles with this detailed collection of 50 Multiple Choice Questions (MCQs) based on NCERT Class 9 Mathematics Chapter 6. These objective-type questions are desi...

INTRODUCTION TO EUCLID’S GEOMETRY-True/False

Type: True-False
October 26, 2025

Description: Sharpen your understanding of NCERT Class 9 Maths Chapter 5 with these thoughtfully designed True/False questions on "Introduction to Euclid’s Geometry." This section tests your knowledge of key conce...

INTRODUCTION TO EUCLID’S GEOMETRY-MCQs

Type: MCQs
October 26, 2025

Description: Introduction to Euclid’s Geometry (Class 9 Maths Chapter 5) introduces students to the foundations of geometry developed by the ancient Greek mathematician Euclid. This chapter explains points, lines,...

LINEAR EQUATIONS IN TWO VARIABLES-True/False

Type: True-False
October 25, 2025

Description: Test your understanding of NCERT Class 9 Maths Chapter 4 – Linear Equations in Two Variables with these carefully designed True/False statements. Covering every fundamental concept of the chapter, thi...

LINEAR EQUATIONS IN TWO VARIABLES-MCQs

Type: MCQs
October 25, 2025

Description: Mastering linear equations in two variables is essential for Class 9 Mathematics. This chapter introduces the concept of equations involving two variables, their solutions, and graphical representatio...

COORDINATE GEOMETRY-True/False

Type: True-False
October 24, 2025

Description: Test your understanding of Class 9 NCERT Chapter 3: Coordinate Geometry with these 25 True/False statements. This quiz covers all foundational concepts—Cartesian plane, coordinates, quadrants, absciss...

COORDINATE GEOMETRY-MCQs

Type: MCQs
October 24, 2025

Description: Coordinate Geometry is an essential topic in Class 9 Mathematics that bridges algebra and geometry. It helps students represent geometrical figures using coordinates and understand the relationship be...

Polynomials-True/False

Type: True-False
October 13, 2025

Description: Polynomials are a fundamental concept in Class 10 Mathematics, forming the basis for understanding equations, their roots, and algebraic expressions. Practicing True/False type questions helps student...

Polynomials-MCQs

Type: MCQs
October 12, 2025

Description: Polynomials Class 10 MCQs with Answers and Explanations (NCERT Based) Master your understanding of Polynomials with these 50 Multiple Choice Questions (MCQs) from NCERT Class 10 Maths Chapter 2. Each...

Real Numbers-True/False

Type: True-False
September 29, 2025

Description: This set of 25 true and false questions covers the essential concepts from NCERT Class 10 Mathematics Chapter 1, "Real Numbers." These questions are thoughtfully designed to test understanding of key ...

Real Numbers-MCQs

Type: MCQs
September 28, 2025

Description: Practice 50 expertly crafted MCQs based on NCERT Class 10 Mathematics Chapter 1 Real Numbers. Each question covers key concepts, solutions and explanations to help students master real numbers.

Polynomials-True/False

Type: True-False
September 22, 2025

Description: This set of 25 True/False questions is designed to help learners strengthen their understanding of key concepts from Class 9 Mathematics Chapter 2: Polynomials. The questions span important topics suc...

Number System - True/False

Type: True-False
September 22, 2025

Description: The set of 25 True/False questions for Class 9 Maths "Number Systems" covers the foundational principles and classification of numbers essential to mathematical understanding at the secondary level. T...

Polynomials - MCQs

Type: MCQs
September 12, 2025

Description: This set of multiple-choice questions is based on the topic Introduction to Polynomials. The questions cover key concepts such as types of polynomials (monomials, binomials, trinomials), polynomial ex...

Number System - MCQs

Type: MCQs
September 5, 2025

Description:

Text Book Exercises

Miscellaneous Exercise on Chapter 14

Type: Exercise
February 8, 2026

Description: Probability forms the foundation of uncertainty analysis and logical decision-making in mathematics. Chapter 14 of NCERT Class XI introduces students to the essential language of chance through events...

PROBABILITY-Exercise 14.2

Type: Exercise
February 8, 2026

PROBABILITY-Exercise 14.1

Type: Exercise
February 7, 2026

Miscellaneous Exercise on Chapter 13

Type: Exercise
February 6, 2026

Description: Statistics plays a vital role in understanding real-world data and developing analytical thinking, and Chapter 13 of NCERT Mathematics Class XI forms a strong foundation for this journey. These textbo...

STATISTICS-Exercise 13.2

Type: Exercise
February 5, 2026

STATISTICS-Exercise 13.1

Type: Exercise
February 5, 2026

Miscellaneous Exercise on Chapter 12

Type: Exercise
February 2, 2026

Description: This chapter marks a decisive transition from algebraic manipulation to analytical thinking in mathematics. The solutions presented here are designed to guide learners through textbook exercises with ...

LIMITS AND DERIVATIVES-Exercise 12.2

Type: Exercise
February 2, 2026

LIMITS AND DERIVATIVES-Exercise 12.1

Type: Exercise
February 1, 2026

Miscellaneous Exercise on Chapter 11

Type: Exercise
January 31, 2026

Description: The solutions to the textbook exercises of NCERT Mathematics Class XI, Chapter 11 – Introduction to Three Dimensional Geometry are designed to build a strong conceptual foundation in spatial reasoning...

INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-Exercise 11.2

Type: Exercise
January 31, 2026

INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-Exercise 11.1

Type: Exercise
January 31, 2026

Miscellaneous Exercise on Chapter 10

Type: Exercise
January 30, 2026

Description: The solutions to the textbook exercises of NCERT Class XI Mathematics, Chapter 10 – Conic Sections are designed to serve as a precise academic guide for students aiming to build strong conceptual clar...

CONIC SECTIONS-Exercise 10.4

Type: Exercise
January 30, 2026

CONIC SECTIONS-Exercise 10.3

Type: Exercise
January 29, 2026

CONIC SECTIONS-Exercise 10.2

Type: Exercise
January 29, 2026

CONIC SECTIONS-Exercise 10.1

Type: Exercise
January 29, 2026

Miscellaneous Exercise on Chapter 9

Type: Exercise
January 27, 2026

Description: The solutions to the exercise problems of NCERT Class XI Mathematics, Chapter 9 Straight Lines, are designed to build a strong and methodical understanding of coordinate geometry. This chapter serves ...

STRAIGHT LINES-Exercise 9.3

Type: Exercise
January 26, 2026

STRAIGHT LINES-Exercise 9.2

Type: Exercise
January 25, 2026

STRAIGHT LINES-Exercise 9.1

Type: Exercise
January 25, 2026

Miscellaneous Exercise on Chapter 8

Type: Exercise
January 24, 2026

Description: The solutions of textbook exercises for NCERT Mathematics Class XI, Chapter 8 – Sequences and Series are designed to provide learners with a clear, systematic, and conceptually strong approach to one ...

SEQUENCES AND SERIES-Exercise 8.2

Type: Exercise
January 23, 2026

SEQUENCES AND SERIES-Exercise 8.1

Type: Exercise
January 23, 2026

Miscellaneous Exercise on Chapter 7

Type: Exercise
January 22, 2026

Description: This section presents carefully developed solutions to the textbook exercises of NCERT Mathematics Class XI, Chapter 7: Binomial Theorem. The objective is not merely to provide final answers, but to g...

BINOMIAL THEOREM-Exercise 7.1

Type: Exercise
January 22, 2026

Miscellaneous Exercise on Chapter 6

Type: Exercise
January 21, 2026

Description: Permutations and Combinations form the conceptual backbone of counting techniques in mathematics and serve as a gateway to probability, discrete mathematics, and advanced combinatorial reasoning. The ...

PERMUTATIONS AND COMBINATIONS-Exercise 6.4

Type: Exercise
January 20, 2026

PERMUTATIONS AND COMBINATIONS-Exercise 6.3

Type: Exercise
January 20, 2026

PERMUTATIONS AND COMBINATIONS-Exercise 6.2

Type: Exercise
January 20, 2026

PERMUTATIONS AND COMBINATIONS-Exercise 6.1

Type: Exercise
January 20, 2026

Miscellaneous Exercise on Chapter 5

Type: Exercise
January 19, 2026

Description: Linear Inequalities form a vital bridge between algebraic reasoning and real-life mathematical modeling in NCERT Mathematics Class XI. Unlike equations, inequalities introduce the concept of ranges an...

LINEAR INEQUALITIES-Exercise 5.1

Type: Exercise
January 19, 2026

Miscellaneous Exercise on Chapter 4

Type: Exercise
January 18, 2026

Description: The solutions to the textbook exercises of Complex Numbers and Quadratic Equations are designed to build a strong conceptual foundation while developing precision, logical reasoning, and mathematical ...

COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Exercise 4.1

Type: Exercise
January 17, 2026

Miscellaneous Exercise on Chapter 3

Type: Exercise
January 17, 2026

Description: Trigonometric Functions form a crucial foundation of higher mathematics and play a vital role in physics, engineering, astronomy, and real-life problem solving. NCERT Class XI Mathematics Chapter 3 in...

TRIGONOMETRIC FUNCTIONS-Exercise 3.3

Type: Exercise
January 17, 2026

TRIGONOMETRIC FUNCTIONS-Exercise 3.2

Type: Exercise
January 16, 2026

TRIGONOMETRIC FUNCTIONS-Exercise 3.1

Type: Exercise
January 16, 2026

Miscellaneous Exercise on Chapter 2

Type: Exercise
January 15, 2026

Description: The solutions of the textbook exercises of NCERT Mathematics Class XI Chapter 2 – Relations and Functions are designed to help students develop a clear and logical understanding of one of the most fun...

RELATIONS AND FUNCTIONS-Exercise 2.3

Type: Exercise
January 15, 2026

RELATIONS AND FUNCTIONS-Exercise 2.2

Type: Exercise
January 15, 2026

RELATIONS AND FUNCTIONS-Exercise 2.1

Type: Exercise
January 15, 2026

Miscellaneous Exercise on Chapter 1.php

Type: Exercise
January 14, 2026

Description: The chapter Sets forms the very foundation of modern mathematics and logical thinking in Class XI. Almost every advanced topic in mathematics—relations, functions, probability, calculus, and even stat...

SETS-Exercise 1.5

Type: Exercise
January 14, 2026

SETS-Exercise 1.4

Type: Exercise
January 13, 2026

SETS-Exercise 1.3

Type: Exercise
January 13, 2026

SETS-Exercise 1.2

Type: Exercise
January 13, 2026

SETS-Exercise 1.1

Type: Exercise
January 13, 2026

PROBABILITY-Exercise 14.1

Type: Exercise
December 20, 2025

Description: The textbook exercises of Probability serve as a critical bridge between conceptual understanding and confident application. This chapter requires students to move beyond memorising formulas and engag...

STATISTICS-Exercise 13.3

Type: Exercise
December 19, 2025

Description: Statistics is one of the most practical and scoring chapters in the Class X Mathematics syllabus, as it bridges numerical computation with real-world interpretation of data. The textbook exercise solu...

STATISTICS-Exercise 13.2

Type: Exercise
December 19, 2025

STATISTICS-Exercise 13.1

Type: Exercise
December 18, 2025

SURFACE AREAS AND VOLUMES-Exercise 12.2

Type: Exercise
December 17, 2025

Description: The solutions to the textbook exercises of NCERT Mathematics Class X – Surface Areas and Volumes are designed to provide students with a precise, logical, and concept-driven approach to solving numeri...

SURFACE AREAS AND VOLUMES-Exercise 12.1

Type: Exercise
December 17, 2025

AREAS RELATED TO CIRCLES-Exercise 11.1

Type: Exercise
December 16, 2025

Description: The solutions to the textbook exercises of NCERT Class X Mathematics Chapter 11 – Areas Related to Circles are designed to help learners develop a clear, logical, and application-oriented understandin...

CIRCLES-Exercise 10.2

Type: Exercise
December 14, 2025

Description: The Solutions to the Textbook Exercises of NCERT Mathematics Class X Chapter 10 – “Circles” are designed to provide students with clear, logically structured, and exam-ready explanations for every pro...

CIRCLES-Exercise 10.1

Type: Exercise
December 13, 2025

SOME APPLICATIONS OF TRIGONOMETRY-Exercise 9.1

Type: Exercise
December 13, 2025

Description: Trigonometry becomes truly meaningful when it helps to answer practical questions such as “How high is that tower?” or “How far is that ship from the lighthouse?” without directly measuring the height...

INTRODUCTION TO TRIGONOMETRY-Exercise 8.3

Type: Exercise
December 11, 2025

Description: Chapter 8, Introduction to Trigonometry, marks a fundamental transition in Class X Mathematics, enabling learners to interpret and relate the sides and angles of right-angled triangles through precise...

INTRODUCTION TO TRIGONOMETRY-Exercise 8.2

Type: Exercise
December 11, 2025

INTRODUCTION TO TRIGONOMETRY-Exercise 8.1

Type: Exercise
December 10, 2025

COORDINATE GEOMETRY-Exercise 7.2

Type: Exercise
December 9, 2025

Description: Coordinate Geometry is one of the most empowering chapters of Class X Mathematics because it blends the abstract world of algebra with the visual clarity of geometry. This chapter helps students locat...

COORDINATE GEOMETRY-Exercise 7.1

Type: Exercise
December 8, 2025

TRIANGLES-Exercise 6.3

Type: Exercise
December 7, 2025

Description: The chapter Triangles stands at the heart of Class X geometry, introducing learners to profound mathematical ideas such as similarity, proportionality, and the elegant structure underlying geometric f...

TRIANGLES-Exercise 6.2

Type: Exercise
December 6, 2025

TRIANGLES-Exercise 6.1

Type: Exercise
December 5, 2025

ARITHMETIC PROGRESSIONS-Exercise 5.4

Type: Exercise
December 4, 2025

Description: Understanding sequences, patterns, and progressions is a fundamental part of mathematics, and Chapter 5—Arithmetic Progressions (APs)—serves as a crucial bridge between basic number patterns and advan...

ARITHMETIC PROGRESSIONS-Exercise 5.3

Type: Exercise
December 4, 2025

ARITHMETIC PROGRESSIONS-Exercise 5.2

Type: Exercise
December 3, 2025

ARITHMETIC PROGRESSIONS-Exercise 5.1

Type: Exercise
December 2, 2025

QUADRATIC EQUATIONS-Exercise 4.3

Type: Exercise
December 1, 2025

Description: Quadratic Equations form a central theme in Class X Mathematics, linking algebraic reasoning with real-life problem solving. The textbook exercises of this chapter introduce students to structured tec...

QUADRATIC EQUATIONS-Exercise 4.2

Type: Exercise
December 1, 2025

Description: Quadratic Equations in NCERT Class X Mathematics connect algebra to real-world scenarios like area, speed, and geometry problems. Solutions use factorization, completing the square, and quadratic form...

QUADRATIC EQUATIONS-Exercise 4.1

Type: Exercise
November 30, 2025

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-Exercise 3.3

Type: Exercise
November 30, 2025

Description: Understanding linear equations is a foundational skill in Class X Mathematics, and Chapter 3 — Pair of Linear Equations in Two Variables — plays a crucial role in building analytical and problem-solvi...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-Exercise 3.2

Type: Exercise
November 29, 2025

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-Exercise 3.1

Type: Exercise
November 29, 2025

Exercise-12.1

Type: Exercise
November 20, 2025

Description: Understanding and interpreting data is a key skill in today’s information-driven world. Chapter 12 of the NCERT Class 9 Mathematics textbook, “Statistics,” introduces students to fundamental concepts ...

Exercise-11.4

Type: Exercise
November 18, 2025

Description: Explore expertly solved textbook exercises from NCERT Mathematics Class 9 Chapter 11, “Surface Areas and Volumes.” These clear, stepwise solutions help you master concepts of three-dimensional geometr...

Exercise-11.3

Type: Exercise
November 18, 2025

Exercise-11.2

Type: Exercise
November 17, 2025

Exercise-11.1

Type: Exercise
November 17, 2025

Exercise-10.1

Type: Exercise
November 16, 2025

Description: Heron’s Formula is a powerful tool for finding the area of any triangle when the lengths of all sides are known. In Chapter 10 of NCERT Mathematics for Class 9, students learn how to apply Heron’s For...

Exercise-9.3

Type: Exercise
November 15, 2025

Description: NCERT Mathematics Class IX Chapter 9 "Circles" Textbook Exercise Solutions provide detailed, step-by-step answers to all exercise problems, helping students master crucial concepts about circles, thei...

Exercise-9.2

Type: Exercise
November 14, 2025

Exercise-9.1

Type: Exercise
November 14, 2025

Exercise-8.2

Type: Exercise
November 13, 2025

Description: Understanding quadrilaterals is an essential skill in Class IX Mathematics, especially when dealing with parallelograms, rectangles, rhombuses, and special midpoint theorems. NCERT Class 9 Chapter 8 “...

Exercise-8.1

Type: Exercise
November 12, 2025

Description: The NCERT Class 9 Mathematics Textbook Exercise Solutions serve as an essential learning companion for students aiming to master mathematical concepts with clarity and confidence. Designed in alignmen...

Exercise-7.3

Type: Exercise
November 10, 2025

Description: This comprehensive set of expertly worked solutions covers every major problem from NCERT Class 9 Mathematics Chapter 7 “Triangles.” Each solution is written in a clear, stepwise, human style to guide...

Exercise-7.2

Type: Exercise
November 10, 2025

Exercise-7.1

Type: Exercise
November 10, 2025

Exercise-6.2

Type: Exercise
November 8, 2025

Description: Geometry is one of the most fascinating branches of Mathematics, and Chapter 6 “Lines and Angles” marks an important step in exploring it. In this chapter, students learn about the fundamental concept...

Exercise-6.1

Type: Exercise
November 8, 2025

Exercise-5.1

Type: Exercise
October 26, 2025

Description: Welcome to the complete solutions for NCERT Class 9 Maths Chapter 5, Exercise 5.1: Introduction to Euclid’s Geometry. This page provides clear, step-by-step answers to every question in the exercise, ...

Exercise-4.2

Type: Exercise
October 26, 2025

Description: Chapter 4 of NCERT Class 9 Mathematics, Linear Equations in Two Variables, introduces students to the world of equations containing two variables. Through practical examples and exercises, learners di...

Exercise-4.1

Type: Exercise
October 26, 2025

Exercise 3.1 and 3.2

Type: Exercise
October 24, 2025

Description: Explore the fundamentals of positioning and plotting points on a Cartesian plane with the NCERT Class 9 Chapter 3: Coordinate Geometry textbook exercises. This chapter introduces you to concepts such ...

Polynomials-Exercise 2.2

Type: Exercise
October 14, 2025

Description: Exercise 2.2 of NCERT Class X Mathematics Chapter 2, "Polynomials," focuses on the concept of zeros of a polynomial and their graphical interpretation. This exercise deepens a student's understanding ...

Polynomials-Exercise 2.1

Type: Exercise
October 13, 2025

Description: Exercise 2.1 of NCERT Mathematics Chapter 2 introduces students to the basic definition and terminology of polynomials, focusing on recognizing polynomials, identifying their degrees, and understandin...

Real Numbers-Exercise 1.2

Type: Exercise
September 30, 2025

Description: Exercise 1.2 of NCERT Class 10 Mathematics (Chapter: Real Numbers) explores the important concepts of rationality and irrationality within the real number system. This exercise guides students through...

Real Numbers Exercise-1.1

Type: Exercise
September 29, 2025

Description: Exercise 1.1 of NCERT Class 10 Mathematics is based on the chapter Real Numbers and introduces the Euclid’s Division Lemma. Students learn how to express any integer in the form of 𝑎=𝑏𝑞+𝑟, where 𝑞 i...

Exercise 2.4

Type: Exercise
September 17, 2025

Description: NCERT Class 9 Maths Polynomials Exercise 2.4 solutions focus on problems related to algebraic identities. Students practice finding products using identities, factorising algebraic expressions, expand...

Exercise 2.3

Type: Exercise
September 15, 2025

Description: NCERT Class 9 Maths Polynomials Exercise 2.3 solutions focus on factorisation methods that expand upon the concepts from previous exercises. This exercise explains the Factor Theorem with examples and...

Exercise 2.2

Type: Exercise
September 14, 2025

Description: Exercise 2.2 of NCERT Class 9 Mathematics (Chapter: Polynomials) focuses on finding the value of polynomials at different points, understanding and calculating the zeros of polynomials, and verifying ...

Exercise 2.1

Type: Exercise
September 13, 2025

Description: Exercise 2.1 of Class 9 Maths NCERT Chapter Polynomials has been solved here in a simple and step-by-step manner to help students build strong fundamentals. The solutions cover the basic ideas of poly...