NCERT Solutions for Class 12 Maths

Mathematics in Class 12 is a high-scoring and concept-driven subject that plays a crucial role in CBSE Board exams and competitive exams such as JEE Main, JEE Advanced, NDA and other entrance tests. Strong conceptual understanding and systematic practice are essential to score well.

NCERT Solutions for Class 12 Maths provide accurate, step-by-step answers strictly based on the latest NCERT textbook. These solutions help students understand concepts clearly, improve problem-solving accuracy, and follow the correct exam-oriented answer-writing approach.

1.0Latest NCERT Class 12 Maths Syllabus Overview (2026)

The Class 12 Mathematics syllabus focuses on calculus, algebra, vectors, three-dimensional geometry, and probability. Many chapters are application-based and require logical reasoning along with procedural accuracy.

A clear chapter-wise understanding helps students plan preparation effectively and avoid last-minute confusion.

2.0What NCERT Solutions for Class 12 Maths Include

Each chapter solution is designed to ensure conceptual clarity, accuracy, and exam readiness, following NCERT methodology and CBSE marking schemes.

• Step-by-step solutions for all NCERT exercise questions
• Clear explanation of formulas and concepts
• Properly written proofs and derivations
• Solved examples with logical steps
• Exam-oriented presentation for maximum marks

3.0NCERT Solutions Class 12 Maths Chapterwise Key Notes

Given below are the chapter-wise NCERT Solutions for Class 12 Maths, which students can use as a complete Mathematics preparation guide.

NCERT Solutions for Class 12 Maths Chapter 1: Relations and Functions

This chapter, Relations and Functions introduces relations, functions, types of functions, and their properties. It forms the base for calculus and higher mathematics.

Students should practice domain, range, and function-based questions using NCERT solutions.

NCERT Solutions for Class 12 Maths Chapter 2: Inverse Trigonometric Functions

This chapter deals with inverse trigonometric functions, their properties, and principal values.

NCERT solutions help students understand identities and simplify trigonometric expressions accurately.

NCERT Solutions for Class 12 Maths Chapter 3: Matrices

This chapter introduces matrices, types of matrices, and operations on matrices.

Students should practice matrix algebra and application-based problems using NCERT solutions.

NCERT Solutions for Class 12 Maths Chapter 4: Determinants

This chapter explains determinants and their properties along with applications in solving linear equations.

NCERT solutions provide step-by-step methods for determinant expansion and problem-solving.

NCERT Solutions for Class 12 Maths Chapter 5: Continuity and Differentiability

This chapter focuses on limits, continuity, and differentiability of functions.

Students can strengthen calculus fundamentals by practicing NCERT solutions and examples.

NCERT Solutions for Class 12 Maths Chapter 6: Application of Derivatives

This chapter applies derivatives to real-life problems such as rate of change, maxima and minima, and monotonicity.

NCERT solutions help students develop analytical thinking and application skills.

NCERT Solutions for Class 12 Maths Chapter 7: Integrals

This chapter introduces integration as the inverse process of differentiation.

Students should practice standard integrals and substitution methods using NCERT solutions.

NCERT Solutions for Class 12 Maths Chapter 8: Application of Integrals

This chapter deals with the application of integrals in finding areas under curves.

NCERT solutions help students understand graphical interpretation and area calculations.

NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations

This chapter explains differential equations and methods of solving them.

Students can master formation and solution of differential equations using NCERT solutions.

NCERT Solutions for Class 12 Maths Chapter 10: Vector Algebra

This chapter introduces vectors, vector operations, and scalar and vector products.

NCERT solutions help students solve geometrical and algebraic vector problems effectively.

NCERT Solutions for Class 12 Maths Chapter 11: Three Dimensional Geometry

This chapter explains lines and planes in three-dimensional space.

Students should practice coordinate geometry problems using NCERT solutions.

NCERT Solutions for Class 12 Maths Chapter 12: Linear Programming

This chapter focuses on linear programming problems and optimization techniques.

NCERT solutions provide clarity on formulation, graphical solutions, and feasible regions.

NCERT Solutions for Class 12 Maths Chapter 13: Probability

This chapter deals with advanced probability concepts including conditional probability and Bayes’ theorem.

NCERT solutions help students solve probability problems step by step with accuracy.

4.0Chapter wise Weightage of Maths Class 12 Topics

Understanding the weightage of Class 12 Maths is essential for prioritizing your study schedule. Below is the breakdown for the CBSE 2025-26 session, which is the most common curriculum, followed by a brief look at other major boards and competitive trends.

The CBSE board evaluates Maths out of 100 marks, where 80 marks come from the theory paper and 20 marks from internal assessment.

5.0Significance of Class 12 Mathematics NCERT Solutions for Competitive Exams

Class 12 Mathematics forms the backbone of competitive exams such as JEE Main, JEE Advanced, CUET, NDA, and other engineering entrance tests. NCERT Solutions help students master problem-solving techniques and build strong conceptual clarity required to tackle advanced-level questions.

Why NCERT Maths Solutions Matter

• Concepts and formulas form the base for competitive-level problems
• Step-by-step solutions improve logical thinking and accuracy
• Helps in understanding standard methods preferred in exams
• Strengthens calculus, algebra, vectors, and probability fundamental