Question

If ρ=\(x,y)mid x²+y²=1; x,y∈R then ρ is

• A. reflexive
• B. symmetric
• C. transitive
• D. anti-symmetric

Hint:

Check symmetry by interchanging x and y.

Answer 1

The Correct Option is B

If (x,y)∈ρ, then x²+y²=1⟹ y²+x²=1. Hence (y,x)∈ρ, so the relation is symmetric.