Are you searching for accurate and detailed Class 12 Maths NCERT Solutions to ace your board exams? Look no further! Our comprehensive, step-by-step NCERT solutions cover all chapters, ensuring a strong foundation in calculus, algebra, vectors, and more.
Whether you’re preparing for CBSE board exams, JEE, or other competitive tests, these solutions will help you understand concepts, solve problems efficiently, and score high marks.
Chapter-wise Class 12 Maths NCERT Solutions:
| S.no | Chapter Name | Solutions |
|---|---|---|
| 1 | Relations and Functions | Ex_1.1 Ex _1.2 Ex_Misc |
| 2 | Inverse trigonometric functions | Ex_2.1 Ex_2.2 Ex_Misc |
| 3 | Matrices | Ex_3.1 Ex_3.2 Ex_3.3 Ex_3.4 Ex_Misc |
| 4 | Determinants | Ex_4.1 Ex_4.2 Ex_4.3 Ex_4.4 Ex_4.5 Ex_Misc |
| 5 | Continuity and Differentiability | Ex_5.1 Ex_5.2 Ex_5.3 Ex_5.4 Ex_5.5 Ex_5.6 Ex_5.7 Ex_Misc |
| 6 | Applications of Derivatives | Ex_6.1 Ex_6.2 Ex_6.3 Ex_Misc |
| 7 | Integrals | Ex_7.1 Ex_7.2 Ex_7.3 Ex_7.4 Ex_7.5 Ex_7.6 Ex_7.7 Ex_7.8 Ex_7.9 Ex_7.10 Ex_Misc |
| 8 | Applications of Integrals | Ex_8.1 Ex_Misc |
| 9 | Differential Equations | Ex_9.1 Ex_9.2 Ex_9.3 Ex_9.4 Ex_9.5 Ex_Misc |
| 10 | Vector Algebra | Ex_10.1 Ex_10.2 Ex_10.3 Ex_10.4 Ex_Misc |
| 11 | Three Dimensional Geometry | Ex_11.1 Ex_11.2 Ex_Misc |
| 12 | Linear Programming | Ex_12.1 |
| 13 | Probability | Ex_13.1 Ex_13.2 Ex_13.3 Ex_Misc |
Navigating the Class 12 Maths NCERT Syllabus: A Chapter-wise Overview
Let’s take a quick look at the key chapters you’ll encounter in Class 12 Maths and how NCERT solutions can aid your journey:
Chapter 1: Relations and Functions
Introduces types of relations and functions including one-one, onto, inverse, and composite functions. Also includes binary operations.
Chapter 2: Inverse Trigonometric Functions
Covers the domain, range, and principal values of inverse trigonometric functions. Important for calculus applications.
Chapter 3: Matrices
Explains types of matrices, operations (addition, multiplication), transpose, and properties like symmetric and skew-symmetric matrices.
Chapter 4: Determinants
Deals with properties of determinants, cofactors, adjoint, and application in solving linear equations using matrices (Cramer’s Rule).
Chapter 5: Continuity and Differentiability
Introduces continuity of functions, differentiability, derivatives of composite, implicit, exponential, logarithmic, and inverse trigonometric functions.
Chapter 6: Application of Derivatives
Covers maxima-minima, increasing/decreasing functions, rate of change, and tangent/normal concepts.
Chapter 7: Integrals
Teaches integration as the inverse process of differentiation, methods of integration, and basic integration formulas.
Chapter 8: Application of Integrals
Covers finding the area under curves using definite integrals — especially between lines and curves.
Chapter 9: Differential Equations
Deals with formation and solution of differential equations, including order, degree, and methods of solving first-order equations.
Chapter 10: Vector Algebra
Introduces vectors, their types, operations (dot and cross product), and geometric applications.
Chapter 11: Three Dimensional Geometry
Focuses on direction cosines, direction ratios, lines and planes in 3D, angle between them, and shortest distance concepts.
Chapter 12: Linear Programming
Involves formulation and graphical solutions of linear programming problems, especially in two variables.
Chapter 13: Probability
Covers conditional probability, Bayes’ theorem, random variables, probability distribution, and mean/variance of distributions.
✅ Why Choose NCERT Solutions for Class 12 Maths?
- Strictly as per CBSE pattern
- Solved by subject matter experts
- Easy-to-understand language
- Ideal for quick revision and board exam prep
- Concept-wise clarification and error-free solutions
What Makes These Solutions Effective?
Unlike generic answer books, these Class 12 Maths NCERT solutions are designed with a teaching approach. Every solution explains:
- What concept is used
- Why a method is chosen
- How to approach similar problems in exams
This boosts not just your board marks, but also your confidence in competitive exams like JEE Main, BITSAT, and more.
🎯 Pro Tips for Studying Class 12 Maths:
- Start with NCERT – Complete every question in the textbook before moving to reference books.
- Use solutions only after attempting – Avoid reading solutions directly. First, try solving it yourself.
- Mark tricky formulas – Make a separate sheet for derivatives, integrals, and vector formulas.
- Solve sample papers weekly – Keep testing yourself with mock exams and CBSE sample papers.
🧠 Frequently Asked Questions (FAQs)
Q1. Are NCERT Maths solutions enough for CBSE Class 12 board exams?
Yes, NCERT textbook questions cover almost 90–95% of board questions. Practicing from NCERT thoroughly is sufficient to score high.
Q2. Where can I get free Class 12 Maths NCERT solutions PDF?
You can download them for free from ToppersGuru.com
Q3. Which is the toughest chapter in Class 12 Maths?
Students often find “Integrals” and “3D Geometry” challenging due to complex calculations.
Q4. Can I score 90+ in Maths with NCERT?
Absolutely! NCERT provides a strong base. Practice additional problems and sample papers for higher marks.