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  • 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 :   Option: 1

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 :
 
Option: 1 S=\left \{ \left ( x,y \right ) \mid x^{2}+y^{2}=1 \right \}
Option: 2 S=\left \{ \left ( x,y \right ) \mid x^{2}+y^{2}=\sqrt{2} \right \}
Option: 3 S=\left \{ \left ( x,y \right ) \mid x^{2}+y^{2}=4 \right \}  
Option: 4 S=\left \{ \left ( x,y \right ) \mid x^{2}+y^{2}=2 \right \}

Answers (1)

best_answer

The equivalence class of (1, –1) is a circle with center at (0,0) and radius = \sqrt2

\\\Rightarrow x^{2}+y^{2}=2 \\ S=\left\{(x, y) \mid x^{2}+y^{2}=2\right\}

 

Posted by

himanshu.meshram

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