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Let R(1) and R(2) be two relation de...

Let `R_(1) ` and `R_(2)` be two relation defined as follows :
`R_(1) = { (a,b) in R^(2) , a^(2) + b^(2) in Q}` and
`R_(2) {(a,b) in R^(2) , a^(2) + b^(2) cancel(in)Q)` where Q is the set of the rational numbers. Them:

A

Neither `R_(1) " nor " R_(2)` is transitive

B

`R_(2)` is transitive but `R_(1)` is not transitive

C

`R_(1)` is transitive but `R_(2)` is not transitive

D

`R_(1) and R_(2)` are both transitive

Text Solution

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The correct Answer is:
A
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