Question

Let R = {(x, y) : x, y ∈ N and x² – 4xy + 3y² = 0}, where N is the set of all natural numbers. Then the relation R is :(a) reflexive but neither symmetric nor transitive.(b) symmetric and transitive.(c) reflexive and symmetric,(d) reflexive and transitive.

Answer 1

Let R = {(x, y) : x, y ∈ N and x² – 4xy + 3y² = 0}, where N is the set of all natural numbers. Then the relation R is :(a) reflexive but neither symmetric nor transitive.(b) symmetric and transitive.(c) reflexive and symmetric,(d) reflexive and transitive.