GATE Papers >> CSE >> 2009 >> Question No 4

Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one of the following is TRUE?

• (A)  R is symmetric but NOT antisymmetric   
• (B)  R is NOT symmetric but antisymmetric   
• (C)  R is both symmetric and antisymmetric   
• (D)  R is neither symmetric nor antisymmetric