NCERT Solutions for Class 12 Mathematics – Exemplar Problems (Latest Edition)

Welcome to NCERTSolutions.org, your reliable platform for Class 12 Mathematics Exemplar Problem Solutions. 🧮📘

NCERT Exemplar Problems are designed to challenge students and strengthen their conceptual understanding of mathematics. These questions go beyond the basics, encouraging logical reasoning, analytical skills, and higher-order thinking — perfect for board exams, JEE Main, JEE Advanced, and other competitive exams.

Our step-by-step NCERT Exemplar Solutions make complex questions easy to understand and solve. Each solution is explained in a clear and structured way to help students grasp the logic and methods behind every problem.


📘 Class 12 Mathematics – Exemplar Problem Chapters

  1. Relations and Functions

  2. Inverse Trigonometric Functions

  3. Matrices

  4. Determinants

  5. Continuity and Differentiability

  6. Application of Derivatives

  7. Integrals

  8. Application of Integrals

  9. Differential Equations

  10. Vector Algebra

  11. Three Dimensional Geometry

  12. Linear Programming

  13. Probability


💡 Why Use Our Class 12 Maths Exemplar Solutions

  • Step-by-step detailed answers to all exemplar questions

  • Covers short answer, long answer, and higher-order reasoning questions

  • Helps prepare for competitive exams like JEE, NEET, CUET, and Board Exams

  • Provides concept clarity and formula-based understanding

  • Developed in line with latest NCERT and CBSE guidelines


📖 Chapter Highlights & Focus Areas

  1. Relations and Functions – Explore complex relations, types of functions, and composite functions.

  2. Inverse Trigonometric Functions – Learn properties, graphs, and principal values.

  3. Matrices – Understand matrix operations, types, and real-world applications.

  4. Determinants – Practice solving determinants, adjoints, and inverse of matrices.

  5. Continuity and Differentiability – Strengthen calculus concepts and problem-solving techniques.

  6. Application of Derivatives – Master rate of change, maxima-minima, and tangents-normals.

  7. Integrals – Gain command over integration techniques and their properties.

  8. Application of Integrals – Solve area and volume problems using integration.

  9. Differential Equations – Learn methods to form and solve different types of equations.

  10. Vector Algebra – Understand scalar and vector products and their applications.

  11. Three Dimensional Geometry – Master equations of lines and planes in 3D space.

  12. Linear Programming – Formulate and solve optimization problems graphically.

  13. Probability – Develop strong conceptual understanding of random variables and distributions.


📈 Benefits of Using NCERT Exemplar Solutions

  • Improves speed and accuracy in problem solving

  • Enhances understanding of advanced mathematical concepts

  • Helps students tackle tricky and conceptual questions confidently

  • Aids in competitive exam preparation with real exam-level problems

  • Builds a strong foundation for engineering and science courses


🧠 Study Tips for Class 12 Maths Exemplar Problems

  • Revise each concept from NCERT textbook before attempting exemplar questions.

  • Maintain a formula notebook for quick revision.

  • Focus on derivations, properties, and applications for better conceptual understanding.

  • Solve exemplar problems regularly to boost confidence and analytical ability.

  • Discuss tough questions with teachers or peers for deeper insights.