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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations

Class 12 Maths · Relations And Functions · Mcq Single Correct #24

Let a relation \(R\) in \(\mathbb{N}\) be defined by \(xRy\iff x^2-4xy+3y^2=0\). The relation \(R\) is

✅ Step-by-Step Solution

Final Answer: Option (A): Reflexive
  1. \((x-y)(x-3y)=0\), so \(xRy\) means \(x=y\) or \(x=3y\). Reflexivity holds. Symmetry fails for 3 and 1. Transitivity fails since \(9R3\) and \(3R1\), but not \(9R1\).

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