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Question

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 :

A
S={(x,y) | x2+y2=1}
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B
S={(x,y) | x2+y2=4}
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C
S={(x,y) | x2+y2=2}
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D
S={(x,y) | x2+y2=2}
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Solution

The correct option is D S={(x,y) | x2+y2=2}
Let P(a,b) and Q(c,d) be two points.
OP=OQ
a2+b2=c2+d2
R(x,y), S(1,1)
OR=OS ( equivalence class )
x2+y2=2

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