TEST SERIES

Question

A binary relation R on Z × Z is defined as follows: ( a , b ) R ( c , d ) iff a = c or b = d Consider the following propositions:
1. R is reflexive.2. R is symmetric. 3. R is antisymmetric. Which one of the following statements are True?

Answer 1

The binary relation is symmetric and reflexive

A R B and B R A because b = d (Symmetric)

A R A and B R B because b = d (Reflexive) 

Comments

@sourav

I think it will be symmetric

Say

(1,2)R(1,4)

then (1,4)R(1,2)

is it not?

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yes it is symmetric

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Yes it is symmetric only.

I was mistaken in seeing $  \text{a = c or b = d}  $ as $  \text{b = c or b = d}  $