Let $R = \{(P, Q) | P$ and $Q$ are at the same distance from the origin$\}$ be a relation, then the…

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.
  1. S=x,y|x2+y2=1
  2. S=x,y|x2+y2=2
  3. S=x,y|x2+y2=2
  4. S=x,y|x2+y2=4

Solution

Equivalence class of 1,-1 is a circle with centre at 0,0and radius =2

⇒x2+y2=2

S=x,y|x2+y2=2

Asked in: JEE Main 2021 (26 Feb Shift 1)

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