NCERT Solutions for Maths Chapter 1 Relations and Functions Class 12 - Free PDF Download
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions contains answers to all the questions in the CBSE syllabus 2024-25. All exercise questions are solved in a step-by-step manner. Solving the questions in the Class 12 Maths NCERT textbook helps students understand the concept clearly. Students can download and study these NCERT Solutions for Class 12 Maths to improve their math skills.
Table of Content
To master the chapter Relations and Functions, students must learn both the fundamentals and the advanced sections. Practicing these NCERT Solutions for Class 12 Maths will assist students in their test preparation in such a way that they will find even the toughest questions from this chapter extremely simple. Download the NCERT Solutions PDF for this chapter using the link provided below.
FAQs on NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions
1. What is the correct stepwise approach to solve questions on equivalence relations in the NCERT Solutions for Class 12 Maths Chapter 1?
The stepwise NCERT method for solving equivalence relation questions involves:
- Defining the relation as given in the question.
- Checking reflexivity by verifying that every element is related to itself.
- Testing symmetry by confirming if for every pair (a, b) in the relation, (b, a) is also present.
- Checking transitivity by ensuring if (a, b) and (b, c) are in the relation, then (a, c) is too.
- Concluding whether all three properties exist, thus establishing the relation as equivalence.
2. How does using the stepwise format of NCERT Solutions help in scoring higher marks in Relations and Functions questions?
Stepwise NCERT Solutions align perfectly with the CBSE 2025–26 marking scheme as each logical step is awarded marks. This method demonstrates clear understanding, prevents missed qualifications, and follows the answer pattern expected by CBSE, maximizing your score.
3. What is the difference between one-one, onto, and bijective functions as per the NCERT Solutions for Class 12 Maths Chapter 1?
One-one (injective) functions ensure each element of the domain maps to a unique codomain element. Onto (surjective) functions cover every element in the codomain with at least one domain value. Bijective functions combine both properties, meaning every codomain element is paired uniquely with a domain element. NCERT Solutions require stepwise justification for each property using proper set logic.
4. How should composition of functions problems be solved according to Class 12 Maths NCERT Solutions?
To solve function composition problems:
- Write both functions clearly.
- Identify the domain where both functions are defined.
- Apply composition (e.g., find f(g(x))).
- Show each computation step in detail as per NCERT’s pattern.
- Simplify in clear, logical steps.
5. Why does CBSE emphasize stepwise answers for Relations and Functions in its marking scheme?
CBSE awards marks for each individual step in a solution to ensure transparency in evaluation and to reward accurate logical reasoning. Stepwise answers allow examiners to see students' understanding and processes, which is essential as per the board’s guidelines for Class 12 Maths NCERT Solutions.
6. What strategies can help avoid common mistakes while using NCERT Solutions for the Relations and Functions chapter?
Prevent common errors by:
- Breaking problems into stepwise parts as shown in NCERT Solutions.
- Carefully checking each property’s definition and application.
- Ensuring each answer includes logic and standard notation as per CBSE expectations.
- Revising final answers for calculation errors or skipped steps.
7. Can NCERT Solutions for Class 12 Maths Chapter 1 be used for Hindi medium students as per CBSE 2025-26?
Yes, the NCERT Solutions for Class 12 Maths Chapter 1 are available in Hindi and follow the same CBSE 2025-26 guidelines, making them suitable for students in Hindi-medium schools to prepare stepwise, board-ready answers.
8. What should students do if a question involves binary operations in Chapter 1?
For binary operations:
- Begin with the definition given in the question.
- Apply the operation to the ordered pairs as required.
- Justify each result, checking properties like closure, associativity, or invertibility as needed.
- Refer to NCERT steps and logic for structuring your working and conclusions.
9. How should Miscellaneous and Intext questions be approached using NCERT Solutions for Relations and Functions?
Tackle miscellaneous and intext questions by:
- Reading the question carefully.
- Answering step-by-step, justifying each calculation or property.
- Referring to textbook definitions and structuring answers in the official CBSE format as shown in NCERT Solutions.
10. What are some misconceptions students should avoid when following NCERT Solutions in this chapter?
Common misconceptions include confusing relations and functions, omitting explanations for key properties, using incorrect notation, and failing to verify domains/codomains. Always write clear stepwise solutions and follow NCERT’s logical sequences to avoid these mistakes.
11. In what ways does practicing with stepwise NCERT Solutions in Chapter 1 support learning advanced maths concepts later?
Stepwise practice in NCERT Solutions helps you construct clear mathematical arguments and proofs. This methodical thinking builds a foundation for advanced topics and competitive exams by improving your logical sequencing and precision in problem solving.
12. How can students check if their handwritten answers align with official NCERT Solutions for Class 12 Maths Chapter 1?
After writing your answer, compare each solution step with the official NCERT Solutions, ensuring all properties, calculations, and language match the CBSE-approved structure and methodology for the 2025–26 syllabus.
13. How does understanding the domain and codomain impact the classification of relations and functions in Chapter 1?
Clearly identifying the domain and codomain is crucial since properties like injectivity, surjectivity, and equivalence depend on these sets. Misdefining them can result in incorrect conclusions while applying NCERT Solution steps.
14. What is the importance of graphically representing functions, as mentioned in the NCERT Solutions for this chapter?
Graphical representation helps visualize properties like one-one or onto, making it easier to understand mappings and quickly spot errors in reasoning—a skill highlighted in stepwise NCERT Solutions for CBSE board exams.
15. How should students use chapterwise NCERT Solutions for exam preparation and revision in Class 12 Maths?
Chapterwise NCERT Solutions provide a systematic way to revise concepts, review solved examples, and practice typical exam questions in the correct stepwise format for each topic, improving clarity and readiness for CBSE 2025-26 examinations.
