check R3 is reflexive,symmetric, transitive R3 on R defined by (a,b) belongs to R3< => a2-4ab+3b2=0 Share with your friends Share 1 Lalit Mehra answered this R3=a, b: a2-4ab+3b2=0For any a∈R, we havea2-4a2+3a2=0⇒a, a ∈R3 for all a∈RSo, R3 is reflexive.Let 3, 1∈R3 . Thena2-4ab+3b2=9-4×3×1+3×1=9-12+3=0But, for 1, 3∈R3 a2-4ab+3b2=1-4×1×3+3×9=1-12+27≠0So, R3 is not symmetric.Let 3, 1, 1, 13∈R3 But, for 3, 13∈R3 a2-4ab+3b2=9-4×3×13+3×19=9-4+13≠0So, R3 is not transitive. 4 View Full Answer
