Sets, Relations and Function: Let R=\(P,Q)mid P and Q are at the same distance from the origin \… | JEE Main 2021

JEE Main 2021 (Online) 26th February Morning ShiftQuestion 1

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

Sets, Relations and Function

$S=\{(x,y)\mid x^{2}+y^{2}=4\}$$S=\{(x,y)\mid x^{2}+y^{2}=2\}$✓ Correct answer$S=\{(x,y)\mid x^{2}+y^{2}=1\}$$S=\{(x,y)\mid x^{2}+y^{2}=\sqrt{2}\}$

Solution

Class of $(1,-1)$ = all points at distance $\sqrt{1+1}=\sqrt2$ from origin: $x^2+y^2=2$. Option (B).

Sets, Relations and Function - JEE Mathematics question (JEE Main 2021 (Online) 26th February Morning Shift)