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Relations and Functions
NCERT Class 12
CBSE
Grade 12
Question:
A relation $R$ on set $A = \{1, 2, 3\}$ is defined by $R = \{(1, 1), (2, 2)\}$. $R$ is: (a) Symmetric and transitive but not reflexive (b) Reflexive and symmetric (c) Equivalence relation (d) Transitive only
Step-by-Step Solution
Not reflexive as $(3,3) otin R$. Symmetric and transitive hold. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Selecting Symmetric and transitive but not reflexive: 1.0 Mark
Correct Answer:Symmetric and transitive but not reflexive
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