NCERT Solutions
Welcome to the solutions section for Mathematics at Advanced Level (Optional), Grade 9 for the academic session 2026–27. This book is published by the Academic Unit, Central Board of Secondary Education (CBSE).
This book introduces students to important mathematical ideas that go beyond routine calculations and encourages them to understand concepts, recognise patterns, develop logical thinking, and solve mathematical problems systematically.
The book covers six important areas of mathematics. It begins with the concept of Sets and gradually moves towards topics such as Logarithms, Relations and Functions, Coordinate Geometry, Combinatorics and Progressions.
The chapters include definitions, explanations, examples, exercises and applications of mathematical concepts. Several topics are connected with situations from everyday life and other areas of study, helping students see how mathematical ideas can be applied beyond the classroom.
| S. No. | Chapter | Pages |
|---|---|---|
| 1 | Sets | 1–21 |
| 2 | Logarithms | 22–37 |
| 3 | Relations and Functions | 38–54 |
| 4 | Coordinate Geometry | 55–70 |
| 5 | Combinatorics | 71–83 |
| 6 | Exploring some more Progressions | 84–94 |
The solutions provided on this website are designed to help students understand the questions step by step. Instead of simply looking at the final answer, students should first try the question themselves and then use the solution to check their method and understand the reasoning.
Each solution should be read carefully, especially the mathematical steps, definitions, formulas and reasoning used to reach the final answer. This approach can help students build a stronger conceptual understanding of the topics covered in the book.
This website provides solutions and explanations for the questions in Mathematics at Advanced Level (Optional), Grade 9, 2026–27. Students are encouraged to use the solutions as a learning aid and to practise the questions independently for better understanding.
Mathematics at Advanced Level is an optional Grade 9 mathematics course for students who want to explore mathematical concepts in greater depth.
This book is designed for Grade 9 students.
The book is for the academic session 2026–27.
The book is published by the Academic Unit, Central Board of Secondary Education (CBSE).
The book contains six chapters.
| S. No. | Chapter |
|---|---|
| 1 | Sets |
| 2 | Logarithms |
| 3 | Relations and Functions |
| 4 | Coordinate Geometry |
| 5 | Combinatorics |
| 6 | Exploring some more Progressions |
The Sets chapter introduces students to the concept of sets and related mathematical ideas.
The Logarithms chapter introduces logarithms and explains their mathematical properties and applications.
This chapter covers concepts such as ordered pairs, Cartesian products, relations, functions, graphs, domain and range.
Combinatorics is a branch of mathematics concerned with counting, arrangements and selections. The chapter introduces systematic methods for finding the number of possible outcomes.
Yes. This website provides step-by-step solutions and explanations for the questions from the book to help students understand the methods used to solve them.
It is recommended that students first attempt a question independently and then use the solution to check their method, calculations and reasoning.
Yes. The solutions can be used as a revision and learning resource after students have studied the corresponding concepts from the book.