R is a relation in A- If a- b - R and b- c - R implies a- c -R then R is called

The correct option is C transitive (a,b)∈ R (b,c)∈ R ⇒ (a,c)∈ R in such a scenario the relation 'R' is said to be transitive. ...

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Transitive Relations

R is a relati...

Question

R is a relation in A. If (a, b) $\in$ R and (b, c) $\in$ R implies (a, c) $\in$ R then R is called

additive

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transitive

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Inverse

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None of these

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\notin

\notin

R

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R = {(a, b) : a, b \in Q and a - b \in Z}

(i) (a, a) \in R

a \in Q

(i i) (a, b) \in R

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(i i i) (a, b) \in R and (b, c) \in R

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Let R be a relation from N to N defined by R = {(a, b): a, b $\in$ N and a = $b^{2}$ }. Which of the following is/are true?

(i) (a, a) $\in$ R, for all a $\in$ N

(ii) (a, b) $\in$ R, implies (b, a) $\in$ R

(iii) (a, b) $\in$ R, (b, c) $\in$ R implies (a, c) $\in$ R

R

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R = {(a, b) : a, b \in Q a n d a - b \in Z}

(a, b) \in R

(b, c) \in R

(a, c) \in R

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