The relation ‘R’ in (N \times N) such that (a, b) R (c, d) ⬄... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

The relation ‘R’ in $N \times N$ such that (a, b) R (c, d) ⬄ a+d=b+c is

A

Reflexive but of symmetric

B

Reflexive and transitive but not symmetric

C

An equivalence relation

D

None of these

Answer

An equivalence relation

Explanation

Solution

The correct option is (C): An equivalence relation.
the relation r in n n such that ab r cd implies that a d = b c is