Class 12 Relations And Functions · Long Answer3 Markstypes_of_relations
Class 12 Maths · Relations And Functions · Long Answer #171
On A={1,2,3,4,5,6}, let aRb iff b=a+1. Check reflexivity, symmetry and transitivity.
✅ Step-by-Step Solution
Final Answer: Neither reflexive, symmetric nor transitive.
- The relation contains (1,2),(2,3),(3,4),(4,5),(5,6).
- It is not reflexive because (1,1) is absent, and not symmetric because (1,2) occurs but (2,1) does not.
- It is not transitive because (1,2),(2,3) occur while (1,3) does not.
- Thus all three properties fail.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The relation contains (1,2),(2,3),(3,4),(4,5),(5,6).
- [1 mark] It is not reflexive because (1,1) is absent, and not symmetric because (1,2) occurs but (2,1) does not.
- [1 mark] It is not transitive because (1,2),(2,3) occur while (1,3) does not.
- [0.5 marks] Thus all three properties fail.
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