NDA 2024 Mathematics question
Let and be two non-void relations on a set . Which of the following statements are correct? I. and are reflexive is reflexive. II. and are symmetric is symmetric. III. and are transitive is transitive. Select the answer using the code given below.
Answer: (D)
Solution
I: if both are reflexive, and for every , so ; true. II: if , it lies in or in ; by symmetry of that relation lies in
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