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Relations and Functions
Oswaal
CBSE
Grade 12
Question:
If relation $R = \{(a, b) : |a - b| \text{ is even}\}$ on $\mathbb{Z}$, then $R$ is: (a) Equivalence relation (b) Reflexive only (c) Symmetric only (d) Not transitive
Step-by-Step Solution
Key Concept: Standard parity equivalence relation on integers.
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Correct Answer:Equivalence relation
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