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Let R be a relation on N defined by R = ...

Let R be a relation on N defined by `R = {(x, y): 2x + y = 10}`, then domain of R is

A

reflexive

B

symmetric

C

transitive

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Reflexive As `20 in N ` but `(20,20) notin` R.
Symmetric As `(20,30 in R` but `(30,20) notin R` .
So , it is not symmetric.
Transitive As `(20,30) in R, (30,50)in R` but `(20,50) in R`.
So, it is not transitive.
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