Class 12 Maths Solutions in Hindi & English | NCERT Based | With Video Lecture and free Pdf
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Welcome to Class 12 Math!
Class 12 Mathematics is an integral
part of your academic journey, providing the tools and knowledge necessary for
higher education in mathematics, engineering, science, and other fields. This
year, you will delve deeper into advanced mathematical concepts that build on
your previous learning and prepare you for future studies and professional
applications.
Here’s what you can expect in Class
12 Mathematics:
- Curriculum
Overview: The Class 12 Mathematics syllabus
covers a broad range of topics essential for a comprehensive understanding of
mathematics:
- Relations and Functions: Advanced study of types of functions, inverse
functions, and composite functions.
- Algebra:
In-depth exploration of matrices, determinants, and their applications.
- Calculus:
Detailed study of differential calculus, including applications of
derivatives, integration, and its applications in areas such as finding
areas under curves and solving differential equations.
- Vectors and Three-Dimensional Geometry: Introduction to vectors, their operations, and
application in three-dimensional space, including lines and planes.
- Linear Programming:
Techniques for optimization problems and graphical methods to solve
linear programming problems.
- Probability:
Advanced concepts in probability, including probability distributions,
expectations, and theorems related to probability.
- Study
Materials & Resources: Our website
provides a wealth of resources to support your studies, including:
- Textbook PDFs:
Access the NCERT textbook and supplementary materials to aid your
learning.
- Lecture Notes:
Review detailed notes from each topic to reinforce your understanding.
- Practice Problems:
Engage with a range of exercises and past exam papers to test your
knowledge and improve problem-solving skills.
- Assignments
& Projects: Keep track of current assignments
and project work. Each task is designed to deepen your understanding and
application of mathematical concepts. Make sure to adhere to deadlines and
follow guidelines to complete your work effectively.
- Interactive
Learning Tools: Utilize interactive tools and
software to enhance your learning experience. Explore graphing calculators,
mathematical modeling software, and other digital resources to better visualize
and solve complex problems.
- Class
Announcements: Stay informed about class updates
through this section. It includes important announcements, schedule changes,
upcoming tests, and other key information.
- Additional
Support: If you need extra assistance,
resources are available to help you:
- Contact Your Teacher: Reach out for guidance or clarification on
challenging topics.
- Study Groups:
Join or form study groups to collaborate and support each other in
learning.
Tips for Success:
- Regular Practice:
Mathematics requires consistent practice. Work through problems regularly
to solidify your understanding.
- Seek Help When Needed: Don’t hesitate to ask questions or seek help if you
encounter difficulties with any topic.
- Stay Organized:
Keep your notes, assignments, and study materials well-organized to make
revision easier.
- Engage with Resources: Make full use of available resources, including online
tools and additional readings, to enhance your learning.
NCERT Mathematics for Class 12
Welcome to our comprehensive guide on NCERT Mathematics for Class 11! This curriculum is designed to build a solid foundation in mathematics and is crucial for mastering concepts that will be essential for higher studies. Here’s a brief overview of what you’ll cover:
Core Topics:
Chapter 1: Relations and Functions
- Exercise 1.1: Problems on different types of relations, including reflexive, symmetric, transitive, and equivalence relations.
- Exercise 1.2: Questions involving functions, including domain, range, and types of functions (one-to-one, onto, bijective).
- Exercise 1.3: Composite functions and inverse functions, including finding and verifying inverses.
Chapter 2: Inverse Trigonometric Functions
- Exercise 2.1: Basic problems on the definition and properties of inverse trigonometric functions.
- Exercise 2.2: Questions involving the principal values of inverse trigonometric functions.
- Exercise 2.3: Solving equations involving inverse trigonometric functions and their applications.
Chapter 3: Matrices
- Exercise 3.1: Problems on the definition and types of matrices, including operations such as addition, subtraction, and multiplication.
- Exercise 3.2: Questions on the properties of matrices, including the identity matrix and the inverse of a matrix.
- Exercise 3.3: Applications of matrices in solving linear equations using matrix inversion and determinants.
Chapter 4: Determinants
- Exercise 4.1: Basic problems involving the definition and properties of determinants.
- Exercise 4.2: Questions on finding determinants of 2x2 and 3x3 matrices, including the application of properties such as row and column operations.
- Exercise 4.3: Solving problems involving the calculation of determinants using cofactor expansion and matrix properties.
Chapter 5: Continuity and Differentiability
- Exercise 5.1: Problems on the concept of continuity and differentiability of functions.
- Exercise 5.2: Questions on the derivative of functions, including rules for differentiation (product rule, quotient rule, chain rule).
- Exercise 5.3: Applications of derivatives in problems involving rates of change and tangents to curves.
Chapter 6: Applications of Derivatives
- Exercise 6.1: Problems on finding maxima and minima of functions using derivatives.
- Exercise 6.2: Questions involving optimization problems and applications in real-life contexts.
- Exercise 6.3: Problems on differential equations related to the application of derivatives.
Chapter 7: Integrals
- Exercise 7.1: Basic problems on the concept of integration, including the definition and properties of integrals.
- Exercise 7.2: Questions on various methods of integration, including substitution, integration by parts, and partial fractions.
- Exercise 7.3: Applications of integration in finding areas under curves and solving real-world problems.
Chapter 8: Applications of Integrals
- Exercise 8.1: Problems on finding the area between curves using definite integrals.
- Exercise 8.2: Questions involving the calculation of volumes of solids of revolution using integration.
- Exercise 8.3: Real-life applications of integrals in calculating areas and volumes.
Chapter 9: Differential Equations
- Exercise 9.1: Problems on the definition and order of differential equations.
- Exercise 9.2: Questions on solving first-order differential equations using various methods.
- Exercise 9.3: Applications of differential equations in modeling real-world phenomena.
Chapter 10: Vector Algebra
- Exercise 10.1: Basic problems involving vector operations, including addition, subtraction, and scalar multiplication.
- Exercise 10.2: Questions on dot product and cross product of vectors.
- Exercise 10.3: Applications of vectors in geometry and physics, including problems related to lines and planes in three-dimensional space.
Chapter 11: Three-Dimensional Geometry
- Exercise 11.1: Problems on the coordinates of points in three-dimensional space and the distance formula.
- Exercise 11.2: Questions involving the equations of lines and planes in three-dimensional space.
- Exercise 11.3: Applications of three-dimensional geometry in solving problems related to distance, angle, and intersections.
Chapter 12: Linear Programming
- Exercise 12.1: Problems on formulating linear programming problems and constraints.
- Exercise 12.2: Questions on graphical methods for solving linear programming problems.
- Exercise 12.3: Applications of linear programming in optimization problems and real-life scenarios.
Chapter 13: Probability
- Exercise 13.1: Basic problems on probability concepts, including experiments, sample spaces, and events.
- Exercise 13.2: Questions on conditional probability, independence of events, and Bayes' theorem.
- Exercise 13.3: Problems involving probability distributions and their applications
Study Resources:
- NCERT Textbooks: The official textbooks are your primary resource. They provide detailed explanations and examples for each topic.
- Sample Papers: Practice with sample papers to familiarize yourself with exam patterns and question types.
- Solved Examples: Review solved examples to understand problem-solving techniques.
- Online Resources: Use educational websites and YouTube channels for additional tutorials and practice exercises.
Tips for Success:
- Understand Concepts: Focus on understanding the underlying concepts rather than just memorizing formulas.
- Practice Regularly: Consistent practice helps in reinforcing concepts and improving problem-solving skills.
- Review and Revise: Regularly review previously covered topics to retain information effectively.
- Seek Help When Needed: Don’t hesitate to ask for help from teachers, peers, or online resources if you’re struggling with a topic.
By following the NCERT curriculum and making use of these resources, you'll build a strong mathematical foundation and be well-prepared for your exams. Happy studying!
NCERT Solutions for Class 12 Maths (Session 2025-26) - Part 1 & 2
Download Chapter-Wise NCERT Solutions for Class 12 Maths (Part 1 & 2)
NCERT Solutions for Class 12 Maths Part 1 (Chapters 1-6)
NCERT Solutions for Class 12 Maths Part 2 (Chapters 7-13)
NCERT Solutions for Class 12 Maths (For Board & Competitive Exams 2026)
📱 Designed for Easy Mobile Downloading
Chapter-Wise NCERT Solutions (PDF & Video Links)
Part 1
Chapter 1: Relations and Functions (संबंध एवं फलन)
Chapter 2: Inverse Trigonometric Functions (प्रतिलोम त्रिकोणमितीय फलन)
Chapter 3: Matrices (आव्यूह)
Chapter 4: Determinants (सारणिक)
Chapter 5: Continuity and Differentiability (सांतत्य तथा अवकलनीयता)
Chapter 6: Application of Derivatives (अवकलज के अनुप्रयोग)
Part 2
Chapter 7: Integrals (समाकलन)
Chapter 8: Application of Integrals (समाकलनों के अनुप्रयोग)
Chapter 9: Differential Equations (अवकल समीकरण)
Chapter 10: Vector Algebra (सदिश बीजगणित)
Chapter 11: Three Dimensional Geometry (त्रिविमीय ज्यामिति)
Chapter 12: Linear Programming (रैखिक प्रोग्रामन)
Chapter 13: Probability (प्रायिकता)
Key Features to Boost Your Board Exam Preparation
Master Concepts for Board & Competitive Exams
Effective Time Management and Revision
Your Personal Doubt-Solving Assistant
- Class 12 NCERT Book-Part 1 (Hindi) Download
- Class 12 NCERT Book-Part 1 (English) Download
- Class 12 NCERT Book-Part 2 (Hindi) Download
- Class 12 NCERT Book-Part 2 (English) Download
Free solution classes for all chapters are available on our YouTube channel.
You can get PDF of all classes
If you want to download the solved PDF file of NCERT Class 11 Math all the exercises or want the simple solution of each question, then you can get it for free by visiting the link of all the exercises given above.
step 1 : First of all click on any chapter given above Example "Chapter 1 Sets"step 2 : After clicking, scroll down to the bottom of the page you see.step 3 : You will see the download button below, click on it and download the PDF
Frequently Asked Questions (FAQs)