Class 11 Mathematics
Mathematics develops logical thinking, quantitative reasoning, and the ability to represent and solve problems using numbers, algebra, geometry, statistics, and related concepts. Students build understanding through definitions, rules, formulas, worked examples, diagrams, and step-by-step methods, while learning to check solutions and apply ideas in unfamiliar situations. The subject pages organise chapters and topics for Classes 9–12, making it easier to study concepts in sequence or revisit specific areas. Topic-based MCQs support practice and quick revision, while clear answers and explanations show the reasoning behind each option, help identify mistakes, and strengthen accuracy before tests and examinations.
1Linear Inequalities
रैखिक असमिकाएँ
In Class 11 Mathematics, the chapter Linear Inequalities introduces inequalities involving linear expressions and explains how to represent their solution sets. Students learn to solve inequalities in one variable, understand interval notation and graphical representation on the number line, and work with linear inequalities in two variables. The chapter also develops the interpretation of solutions as regions on the Cartesian plane, including common solution regions for systems of inequalities.
4 topics · 2,400 questionsRelations and Functions
संबंध और फलन
In Class 11 Mathematics, the chapter Relations and Functions introduces Cartesian products, relations between sets, and functions as a special type of relation. Students learn to identify domains, codomains and ranges of real-valued functions, represent functions through graphs, and study standard functions. The chapter also develops algebraic operations on real functions, helping learners understand how functions can be combined and analysed.
8 topics · 3,543 questionsComplex Numbers and Quadratic Equations
सम्मिश्र संख्याएँ और द्विघात समीकरण
In Class 11 Mathematics, the chapter Complex Numbers and Quadratic Equations introduces numbers beyond the real number system and explains their algebraic operations. Students learn modulus, conjugate, the Argand plane, and polar representation to interpret complex numbers geometrically. The chapter also applies complex numbers to solve quadratic equations and discusses the Fundamental Theorem of Algebra, building a foundation for further algebraic study.
6 topics · 2 questionsSets
समुच्चय
In Class 11 Mathematics, the chapter Sets introduces collections of well-defined objects and the language used to describe them. Students learn ways to represent sets, identify elements, distinguish finite and infinite sets, and understand subsets, universal sets, and empty sets. The chapter also develops operations such as union, intersection, difference, and complement, often using Venn diagrams to solve problems and express relationships between sets clearly.
31 topics · 36 questionsTrigonometric Functions
त्रिकोणमितीय फलन
In Class 11 Mathematics, the chapter Trigonometric Functions introduces angles, their measurement, and the relationships between trigonometric ratios. Students study functions such as sine, cosine, tangent, cosecant, secant, and cotangent, along with their domains, ranges, signs, identities, and graphs. The chapter also develops methods for simplifying expressions and solving basic trigonometric equations, building a foundation for later work in calculus and coordinate geometry.
0 topics · 0 questionsPermutations and Combinations
क्रमचय और संचय
In Class 11 Mathematics, the chapter Permutations and Combinations develops systematic methods for counting possible arrangements and selections. Students learn the fundamental principle of counting, factorial notation, permutations for ordered arrangements, and combinations for unordered selections. The chapter also explains the derivation of key formulas and the relationship between permutations and combinations, helping students solve counting problems logically and efficiently.
5 topics · 3,000 questionsApplications of Derivatives
अवकलजों के अनुप्रयोग
In this Class 11 Mathematics chapter, students explore how derivatives describe change and help interpret functions. They learn to find rates of change, examine where a function is increasing or decreasing, and apply derivative-based reasoning to identify turning points, maxima, and minima. The chapter also strengthens understanding of tangents, normals, and graphical behavior, helping students connect algebraic calculations with the way quantities vary in real-world and mathematical situations.
0 topics · 0 questionsBinomial Theorem
द्विपद प्रमेय
This Class 11 Mathematics chapter introduces the Binomial Theorem as a systematic method for expanding expressions of the form (a + b)^n, where n is a positive integer. Students learn the role of binomial coefficients, Pascal’s triangle, and the general term in finding particular terms without writing the complete expansion. The chapter also develops skills for identifying coefficients, middle terms, and relationships between terms, helping learners solve algebraic problems accurately and efficiently.
3 topics · 1 questionsSequences and Series
अनुक्रम और श्रेणियाँ
Sequences and Series introduces Class 11 students to ordered lists of numbers and the patterns that connect their terms. The chapter develops formulas for the nth term and the sum of arithmetic and geometric progressions, with attention to common differences, common ratios, and finite series. Students also explore arithmetic and geometric means, recognize patterns, and apply these ideas to solve problems involving unknown terms and sums. Clear reasoning helps them distinguish a sequence from its associated series and use notation accurately.
6 topics · 1 questionsStraight Lines
सरल रेखाएँ
In Class 11 Mathematics, the chapter Straight Lines develops key ideas of coordinate geometry in two dimensions. Students review basic 2D geometry, learn how slope describes a line’s inclination, and find angles between lines. The chapter explains different forms of the equation of a line, including the general equation, and shows how to calculate the perpendicular distance of a point from a line.
5 topics · 23 questionsConic Sections
शंकु परिच्छेद
In Class 11 Mathematics, Chapter Conic Sections introduces curves formed by cutting a cone with a plane. Students study degenerate conics and the standard equations and basic properties of the circle, parabola, ellipse, and hyperbola. The chapter develops an understanding of how these curves are represented on the coordinate plane, including their key geometric features and simple algebraic forms.
6 topics · 7 questionsProbability
प्रायिकता
This Class 11 Mathematics chapter introduces probability as a way to measure uncertainty in random experiments. Students learn to describe outcomes using sample spaces and events, distinguish certain, impossible, and complementary events, and assign probabilities through the axiomatic approach. They apply basic probability rules, including the addition theorem, to solve problems involving equally likely outcomes and interpret chances logically in everyday and mathematical situations.
5 topics · 0 questionsIntroduction to Three Dimensional Geometry
त्रि-आयामी ज्यामिति का परिचय
In Class 11 Mathematics, the chapter Introduction to Three Dimensional Geometry introduces the representation of points in space using three coordinates. Students learn how the x-, y-, and z-axes form a coordinate system, identify coordinate planes and octants, and locate points relative to the origin. The chapter builds the spatial understanding needed for later work with lines, planes, and other geometric figures in three dimensions.
0 topics · 0 questionsStatistics
सांख्यिकी
In Class 11 Mathematics, the chapter Statistics introduces methods for organising, representing, and interpreting numerical data. Students learn to work with measures such as mean, median, and mode, and to understand how data can be summarised through tables and graphs. The chapter also develops the ability to compare data sets and draw meaningful conclusions from their central tendency and variation.
0 topics · 0 questionsLimits and Derivatives
सीमाएँ और अवकलज
In Class 11 Mathematics, the chapter Limits and Derivatives introduces the idea of how a function behaves as its input approaches a particular value. Students learn to evaluate limits, understand continuity in simple contexts, and use the basic concept of derivatives to describe instantaneous rate of change and the slope of a curve at a point. The chapter builds a foundation for later calculus topics.
0 topics · 0 questionsMathematical Reasoning
गणितीय तर्कशक्ति
In this Class 11 Mathematics chapter, students learn how to examine mathematical statements and decide whether they are true or false. The chapter introduces simple and compound statements, negation, logical connectives such as “and,” “or,” and “not,” along with implications, converse, contrapositive, and biconditional statements. Students also practise using truth tables and logical reasoning to test arguments, form conclusions, and communicate mathematical ideas with greater clarity and precision.
1 topics · 0 questions