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Solution


Q.

Let R = {(a,b)|a−b is irrational; a, b are real numbers}, then relation R is
1 reflexive and symmetric relation  
2 transitive and symmetric  
3 symmetric relation  
4 equivalence relation  

Ans.

(3)

(a,a)∉R

If (a,b)∈R⇒(b,a)∈R

If (a,b)∈R, (b,c)∈R⇒(a,c)∉R