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Choose the correct option.
Statement 1: If a relation on a set satisfies , then is symmetric. Statement 2: For a relation to…
Statement 1: If a relation $R$ on a set $A$ satisfies $R = R^{-1}$, then $R$ is symmetric.
Statement 2: For a relation $R$ to be symmetric, it is necessary that $R = R^{-1}$
Which one of the following is correct? (Understanding)
- (a)Statement 1 is true and Statement 2 is false.
- (b)Statement 2 is true and Statement 1 is false.
- (c)Both the statements are true.
- (d)Both the statements are false.
Answer
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From ISC 2026 Specimen Mathematics Paper 1, question 1(ix).