Raman organizes the shirts in his shop. He defines a relation R on the set of shirts as 'has the same size as'. This relation R is: A. Reflexive only B. Symmetric and transitive only C. Reflexive and transitive only D. An equivalence relation Answer: D) An equivalence relation Explanation: Every shirt has the same size as itself (reflexive). If shirt A has the same size as B, B has the same size as A (symmetric). If A has the same size as B and B as C, then A has the same size as C (transitive).

imo class 12 relations and functions

Raman organizes the shirts in his shop. He defines a relation R on the set of shirts as 'has the same size as'. This relation R is:

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Raman organizes the shirts in his shop. He defines a relation R on the set of shirts as 'has the same size as'. This relation R is:

A. Reflexive only
B. Symmetric and transitive only
C. Reflexive and transitive only
D. An equivalence relation

Answer: D) An equivalence relation

Explanation: Every shirt has the same size as itself (reflexive). If shirt A has the same size as B, B has the same size as A (symmetric). If A has the same size as B and B as C, then A has the same size as C (transitive).

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