NCERT Solutions for Class 11 Mathematics Exemplar Problems (Latest Edition)

Welcome to NCERTSolutions.org, your trusted guide for Class 11 Mathematics Exemplar Problems. 📖✨

The Exemplar Problems textbook is designed to help students strengthen their problem-solving and analytical skills. It contains higher-order thinking questions, application-based problems, and challenging exercises that complement the main NCERT textbook.

Our NCERT Solutions explain every exemplar problem in simple, step-by-step language, helping students understand methods, formulas, and strategies to solve even the toughest problems. These solutions are perfect for exam preparation, practice, and class discussions.

📘 Class 11 Mathematics Exemplar Chapters

  1. Sets

  2. Relations and Functions

  3. Trigonometric Functions

  4. Principle of Mathematical Induction

  5. Complex Numbers and Quadratic Equations

  6. Linear Inequalities

  7. Permutations and Combinations

  8. Binomial Theorem

  9. Sequences and Series

  10. Straight Lines

  11. Conic Sections

  12. Introduction to Three Dimensional Geometry

  13. Limits and Derivatives

  14. Mathematical Reasoning

  15. Statistics

  16. Probability

💡 Why Our Class 11 Mathematics Exemplar Solutions Work

  • Step-by-step explanations for all exemplar problems, including higher-order and application-based questions

  • Helps in understanding problem-solving strategies, formulas, and derivations

  • Covers all numerical, conceptual, and theoretical questions in the Exemplar book

  • Perfect for homework, exams, and self-practice

  • Encourages analytical thinking, logical reasoning, and confidence in mathematics

📖 Chapter Highlights & Key Insights

  1. Sets
    Solve problems on Venn diagrams, union, intersection, and complements.
    ✍️ Activity: Draw real-life Venn diagrams and solve set-based problems.

  2. Relations and Functions
    Tackle questions on domain, range, types of functions, and compositions.
    💡 Activity: Identify relations and functions in real-life situations.

  3. Trigonometric Functions
    Solve identities, equations, and angle problems.
    📝 Activity: Apply trigonometry in real-world measurements.

  4. Principle of Mathematical Induction
    Prove statements and series using induction.
    📐 Activity: Use induction to prove a simple arithmetic series.

  5. Complex Numbers and Quadratic Equations
    Work with complex number operations, modulus, argument, and quadratic roots.
    🔢 Activity: Solve practical problems using complex numbers.

  6. Linear Inequalities
    Solve inequalities in one and two variables and graph them.
    📊 Activity: Represent constraints in real-life scenarios using inequalities.

  7. Permutations and Combinations
    Solve arrangement, selection, and counting problems.
    🎲 Activity: Apply permutations in arranging objects in daily life.

  8. Binomial Theorem
    Tackle expansion problems, coefficients, and identities.
    🧮 Activity: Expand binomials using the theorem and verify coefficients.

  9. Sequences and Series
    Solve arithmetic, geometric, and special series problems.
    📈 Activity: Calculate sums of real-life progressions.

  10. Straight Lines
    Work with equations, slopes, intercepts, and distances.
    📏 Activity: Graph straight lines and find intersection points.

  11. Conic Sections
    Solve parabola, ellipse, and hyperbola problems.
    🔹 Activity: Identify conic sections in architecture or nature.

  12. Introduction to Three Dimensional Geometry
    Solve distance, midpoint, and plane-related problems.
    🌐 Activity: Apply 3D coordinates in spatial problems.

  13. Limits and Derivatives
    Handle limits, continuity, differentiation, and applications.
    🖊️ Activity: Use derivatives to calculate rate of change in real-world problems.

  14. Mathematical Reasoning
    Solve logical, statement-based, and deduction problems.
    💡 Activity: Apply reasoning to puzzles and daily-life scenarios.

  15. Statistics
    Work with mean, median, mode, and data interpretation problems.
    📊 Activity: Analyze survey data using statistical methods.

  16. Probability
    Solve classical, conditional, and independent probability problems.
    🎲 Activity: Calculate probabilities in games or experiments.

📈 Key Benefits of Our Class 11 Mathematics Exemplar Solutions

  • Makes higher-order and application-based problems easy to understand

  • Strengthens problem-solving skills, analytical thinking, and logical reasoning

  • Covers all exercises, examples, and challenging questions in the Exemplar book

  • Perfect for exam preparation, homework, and self-practice

  • Encourages confidence in mathematics and practical applications

✍️ Fun Mathematics Activities

  • Maintain a Mathematics Exemplar Journal — note important solved problems, strategies, and formulas

  • Visualize problems graphically to improve understanding

  • Apply concepts to real-life scenarios like finance, measurements, or data analysis

  • Create flashcards for formulas, identities, and problem-solving techniques