What are Assertion & Reason Questions in Relations and Functions

Assertion & Reason questions consist of two statements: the Assertion (A) and the Reason (R). Students must evaluate:

• Whether the Assertion is true or false

• Whether the Reason is true or false

• If the Reason correctly explains the Assertion

These questions assess not only memorized knowledge but also the logical connection between mathematical concepts, particularly in Relations and Functions.

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Importance of Assertion & Reason Questions in Class 12 Mathematics – Relations and Functions

CBSE includes Assertion & Reason questions to:

• Test students’ understanding of abstract mathematical concepts

• Encourage logical thinking and analytical skills

• Identify conceptual misunderstandings

• Prepare students for competitive exams emphasizing reasoning

Topics like domain, range, types of relations, inverse functions, and composition of functions often include such questions.

Types of Assertion & Reason Questions

The four types of questions are:

1. Both Assertion and Reason are true, and Reason correctly explains Assertion

2. Both Assertion and Reason are true, but Reason does not explain Assertion

3. Assertion is true, Reason is false

4. Both Assertion and Reason are false

Understanding these types helps in approaching and solving questions with accuracy.

How to Approach Assertion & Reason Questions

• Carefully read both Assertion and Reason

• Decide the truth value of each statement independently

• Check if the Reason logically explains the Assertion

• Use definitions, theorems, and properties related to Relations and Functions

• Practice regularly for speed and precision

Common Topics in Relations and Functions for Assertion & Reason Questions

Key areas often covered include:

• Relations: Types of relations, reflexive, symmetric, transitive properties

• Functions: Definition, domain, range, one-one and onto functions

• Inverse functions and Composition of functions

Benefits of Practicing Assertion & Reason Questions

• Improves conceptual understanding of Relations and Functions

• Develops logical reasoning and problem-solving skills

• Boosts confidence during exams

• Helps identify and strengthen weak areas

Example of Assertion & Reason Question in Relations and Functions

Example:
Assertion: A function with domain R and range R is onto.
Reason: Every real number is mapped by some element in the domain.

Solution:

• Assertion is true

• Reason is true

• Reason correctly explains the Assertion

Tips for Scoring High in Assertion & Reason Questions

• Focus on understanding definitions and theorems

• Memorize important properties of relations and functions

• Read both statements carefully before answering

• Solve previous years’ CBSE papers and practice questions

• Revise concepts regularly

Common Mistakes to Avoid in Assertion & Reason Questions

• Confusing truthfulness of statements with correctness of explanations

• Ignoring key terms like “all,” “some,” or “none”

• Relying only on memorization without conceptual clarity

• Misinterpreting mathematical terms or symbols

Practice Resources for Assertion & Reason Questions

• NCERT Class 12 Mathematics textbooks

• CBSE sample papers and previous years’ question papers

• Online practice tests and quizzes

• Revision notes and solved exercises

Conclusion

Assertion & Reason questions on Relations and Functions are vital in CBSE Class 12 Mathematics exams. They evaluate both knowledge and reasoning abilities. Regular practice and clear understanding of concepts will help students excel in these questions and improve overall performance.