Mathematics - Sets and Relations Question with Solution | TestHub

MathematicsSets and RelationsQuestions on Symmetric Transitive and Reflexive PropertiesHard2 minPYQ_2021

MathematicsHardsingle choice

Let $R = {(P, Q) | P$ and $Q$ are at the same distance from the origin $}$ be a relation, then the equivalence class of $(1, - 1)$ is the set

Answer:

Solution:

Equivalence class of $(1, - 1)$ is a circle with centre at $(0, 0)$ and radius $= \sqrt{2}$

$\Rightarrow x^{2} + y^{2} = 2$

$S = \{(x, y) | x^{2} + y^{2} = 2\}$

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

⏱ 2mℹ️ Source: PYQ_2021

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