Assertion (A): The relation R defined on a set 5, 7, 9, 11, 13 as R = (a, b) : when a + b…
Mathematics · Class 12 · CBSE — Relations and Functions
Assertion (A): The relation \(R\) defined on a set \(\{5, 7, 9, 11, 13\}\) as \(R = \{(a, b) : \text{when } a + b \text{ is divided by } 3 \text{ leaves remainder } 1\}\) is transitive.
Reason (R): A relation \(R\) on a set \(A\) is transitive if \((a, b) \in R, (b, c) \in R \Rightarrow (a, c) \in R\).
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(D) (A) is false but (R) is true.
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