CBSE Class 12 Mathematics Relations and Functions Q #2181
KNOWLEDGE BASED
REMEMBER
5 Marks Generic-Curriculum LA
Let $A = \{1, 2, 3, \dots, 9\}$ and $R$ be the relation in $A \times A$ defined by $(a, b) R (c, d)$ if $a + d = b + c$ for $(a, b), (c, d)$ in $A \times A$. Prove that $R$ is an equivalence relation. Also obtain the equivalence class $[(2, 5)]$. [Delhi 2014]
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