If ρ = { ( x , y ) ∣ x 2 + y 2 = 1 ; x , y ∈ R } . Then, ρ is

Mathematics - Sets and Relations Question with Solution | TestHub

MathematicsSets and RelationsQuestions on Symmetric Transitive and Reflexive PropertiesEasy2 minPYQ_2015

MathematicsEasysingle choice

If $ρ = {(x, y) ∣ x^{2} + y^{2} = 1; x, y \in R}$ . Then, $ρ$ is

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Obviously, the relation is not reflexive and transitive, but it is symmetric, because $x^{2} + x^{2} = 2 x^{2} \neq = 1$ $and x^{2} + y^{2} = 1, y^{2} + z^{2} = 1 \Rightarrow x^{2} + z^{2} = 1 But x^{2} + y^{2} = 1 \Rightarrow y^{2} + x^{2} = 1$

Stream:BITSATSubject:MathematicsTopic:Sets and RelationsSubtopic:Questions on Symmetric Transitive and Reflexive Properties

⏱ 2mℹ️ Source: PYQ_2015

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